Patent Publication Number: US-2023161139-A1

Title: Imaging optical lens assembly, image capturing unit and electronic device

Description:
RELATED APPLICATIONS 
     This application is a continuation patent application of U.S. application Ser. No. 16/991,973 filed on Aug. 12, 2020, which claims priority to Taiwan Application 109116712, filed on May 20, 2020, which is incorporated by reference herein in its entirety. 
    
    
     BACKGROUND 
     Technical Field 
     The present disclosure relates to an imaging optical lens assembly, an image capturing unit and an electronic device, more particularly to an imaging optical lens assembly and an image capturing unit applicable to an electronic device. 
     Description of Related Art 
     With the development of semiconductor manufacturing technology, the performance of image sensors has improved, and the pixel size thereof has been scaled down. Therefore, featuring high image quality becomes one of the indispensable features of an optical system nowadays. 
     Furthermore, due to the rapid changes in technology, electronic devices equipped with optical systems are trending towards multi-functionality for various applications, and therefore the functionality requirements for the optical systems have been increasing. However, it is difficult for a conventional optical system to obtain a balance among the requirements such as high image quality, low sensitivity, a proper aperture size, miniaturization and a desirable field of view. 
     SUMMARY 
     According to one aspect of the present disclosure, an imaging optical lens assembly includes nine lens elements. The nine lens elements are, in order from an object side to an image side along an optical path, a first lens element, a second lens element, a third lens element, a fourth lens element, a fifth lens element, a sixth lens element, a seventh lens element, an eighth lens element and a ninth lens element. 
     The first lens element has positive refractive power. The eighth lens element with positive refractive power has an image-side surface being convex in a paraxial region thereof. The ninth lens element has an image-side surface being concave in a paraxial region thereof, and the image-side surface of the ninth lens element has at least one convex critical point in an off-axis region thereof. 
     When a curvature radius of an object-side surface of the eighth lens element is R 15 , a curvature radius of the image-side surface of the eighth lens element is R 16 , and an f-number of the imaging optical lens assembly is Fno, the following conditions are satisfied: 
       −0.75&lt;( R 15+ R 16)/( R 15− R 16); and
 
       Fno&lt;2.60. 
     According to another aspect of the present disclosure, an imaging optical lens assembly includes nine lens elements. The nine lens elements are, in order from an object side to an image side along an optical path, a first lens element, a second lens element, a third lens element, a fourth lens element, a fifth lens element, a sixth lens element, a seventh lens element, an eighth lens element and a ninth lens element. 
     The first lens element has an image-side surface being concave in a paraxial region thereof. The second lens element has positive refractive power. The eighth lens element with positive refractive power has an image-side surface being convex in a paraxial region thereof. The ninth lens element with negative refractive power has an image-side surface being concave in a paraxial region thereof, and the image-side surface of the ninth lens element has at least one convex critical point in an off-axis region thereof. 
     When a curvature radius of an object-side surface of the eighth lens element is R 15 , a curvature radius of the image-side surface of the eighth lens element is R 16 , and an f-number of the imaging optical lens assembly is Fno, the following conditions are satisfied: 
       −0.50&lt;( R 15+ R 16)/( R 15 −R 16); and
 
       Fno&lt;2.60. 
     According to another aspect of the present disclosure, an image capturing unit includes one of the aforementioned imaging optical lens assemblies and an image sensor, wherein the image sensor is disposed on an image surface of the imaging optical lens assembly. 
     According to another aspect of the present disclosure, an electronic device includes at least two image capturing units which face the same direction and include the aforementioned image capturing unit. Maximum fields of view of the at least two image capturing units are different from each other, and the maximum fields of view of the at least two image capturing units differ by at least 20 degrees. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       The disclosure can be better understood by reading the following detailed description of the embodiments, with reference made to the accompanying drawings as follows: 
         FIG.  1    is a schematic view of an image capturing unit according to the 1st embodiment of the present disclosure; 
         FIG.  2    shows spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 1st embodiment; 
         FIG.  3    is a schematic view of an image capturing unit according to the 2nd embodiment of the present disclosure; 
         FIG.  4    shows spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 2nd embodiment; 
         FIG.  5    is a schematic view of an image capturing unit according to the 3rd embodiment of the present disclosure; 
         FIG.  6    shows spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 3rd embodiment; 
         FIG.  7    is a schematic view of an image capturing unit according to the 4th embodiment of the present disclosure; 
         FIG.  8    shows spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 4th embodiment; 
         FIG.  9    is a schematic view of an image capturing unit according to the 5th embodiment of the present disclosure; 
         FIG.  10    shows spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 5th embodiment; 
         FIG.  11    is a schematic view of an image capturing unit according to the 6th embodiment of the present disclosure; 
         FIG.  12    shows spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 6th embodiment; 
         FIG.  13    is a schematic view of an image capturing unit according to the 7th embodiment of the present disclosure; 
         FIG.  14    shows spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 7th embodiment; 
         FIG.  15    is a schematic view of an image capturing unit according to the 8th embodiment of the present disclosure; 
         FIG.  16    shows spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 8th embodiment; 
         FIG.  17    is a schematic view of an image capturing unit according to the 9th embodiment of the present disclosure; 
         FIG.  18    shows spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 9th embodiment; 
         FIG.  19    is a schematic view of an image capturing unit according to the 10th embodiment of the present disclosure; 
         FIG.  20    shows spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 10th embodiment; 
         FIG.  21    is a schematic view of an image capturing unit according to the 11th embodiment of the present disclosure; 
         FIG.  22    shows spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 11th embodiment; 
         FIG.  23    is a perspective view of an image capturing unit according to the 12th embodiment of the present disclosure; 
         FIG.  24    is a perspective view of an electronic device according to the 13th embodiment of the present disclosure; 
         FIG.  25    is a perspective view of an electronic device according to the 14th embodiment of the present disclosure; 
         FIG.  26    is a perspective view of an electronic device according to the 15th embodiment of the present disclosure; 
         FIG.  27    is one perspective view of an electronic device according to the 16th embodiment of the present disclosure; 
         FIG.  28    shows a schematic view of Y 11 , Y 92 , Yc 11 , Yc 81 , Yc 92  and several critical points of the lens elements according to the 1st embodiment of the present disclosure; 
         FIG.  29    shows a schematic view of Y 92 , ET 9 , MaxET 9  and Y_MaxET 9  according to the 6th embodiment of the present disclosure; 
         FIG.  30    shows a schematic view of CRA according to the 1st embodiment of the present disclosure; 
         FIG.  31    shows a schematic view of a configuration of a light-folding element in an imaging optical lens assembly according to one embodiment of the present disclosure; 
         FIG.  32    shows a schematic view of another configuration of a light-folding element in an imaging optical lens assembly according to one embodiment of the present disclosure; and 
         FIG.  33    shows a schematic view of a configuration of two light-folding elements in an imaging optical lens assembly according to one embodiment of the present disclosure. 
     
    
    
     DETAILED DESCRIPTION 
     An imaging optical lens assembly includes nine lens elements. The nine lens elements are, in order from an object side to an image side along an optical path, a first lens element, a second lens element, a third lens element, a fourth lens element, a fifth lens element, a sixth lens element, a seventh lens element, an eighth lens element and a ninth lens element. 
     There can be an air gap in a paraxial region between each of all adjacent lens elements of the nine lens elements; that is, each of the first through ninth lens elements can be a single and non-cemented lens element. The manufacturing process of cemented lenses is more complex than the non-cemented lenses, particularly when an image-side surface of one lens element and an object-side surface of the following lens element need to have accurate curvatures to ensure both lenses being properly cemented. In addition, during the cementing process, those two lens elements might not be well cemented due to misalignment, which is not favorable for the image quality. Therefore, having an air gap in a paraxial region between each of all adjacent lens elements of the imaging optical lens assembly in the present disclosure is favorable for preventing the problems of the cemented lens elements so as to improve the yield rate and to increase flexibility in designing the surface shapes of lens elements, thereby reducing the size of the imaging optical lens assembly and correcting aberrations. 
     The first lens element can have positive refractive power. Therefore, it is favorable for providing significant light convergence so as to effectively reduce the total track length of the imaging optical lens assembly for the requirement of miniaturization. The first lens element can have an object-side surface being concave in a paraxial region thereof. Therefore, it is favorable for adjusting the incident light path of the imaging optical lens assembly so as to improve image quality. The first lens element can have an image-side surface being concave in a paraxial region thereof. Therefore, it is favorable for adjusting the refractive power of the first lens element and correcting off-axis aberrations. At least one of the object-side surface and the image-side surface of the first lens element can have at least one critical point in an off-axis region thereof. Therefore, it is favorable for controlling the shape changes of the surfaces of the first lens element so as to improve peripheral image quality. Moreover, the object-side surface of the first lens element can have at least one convex critical point in an off-axis region thereof. Therefore, it is favorable for reducing the effective radius of the first lens element with a wide field of view so as to further reduce the size of the imaging optical lens assembly for configurations in various electronic devices or in devices with limited accommodation space. Please refer to  FIG.  28   , which shows a schematic view of a convex critical point C on the object-side surface  111  of the first lens element  110  according to the 1st embodiment of the present disclosure. 
     The second lens element can have positive refractive power. Therefore, it is favorable for correcting the light path after refraction by the first lens element. 
     The eighth lens element has positive refractive power. Therefore, it is favorable for providing significant positive refractive power so as to effectively enhance light convergence in front of an image surface. The eighth lens element has an image-side surface being convex in a paraxial region thereof. Therefore, it is favorable for adjusting the back focal length and further reducing the total track length of the imaging optical lens assembly. At least one of an object-side surface and the image-side surface of the eighth lens element can have at least one critical point in an off-axis region thereof. Therefore, it is favorable for improving the periphery illumination of the image surface and correcting aberrations at the image periphery. Please refer to  FIG.  28   , which shows a schematic view of critical points C on the object-side surface  181  and the image-side surface  182  of the eighth lens element  180  according to the 1st embodiment of the present disclosure. 
     The ninth lens element can have negative refractive power. Therefore, it is favorable for adjusting the principle point and the back focal length while adjusting light on the image surface at a proper incident angle. The ninth lens element has an image-side surface being concave in a paraxial region thereof. Therefore, it is favorable for further adjusting the back focal length so as to satisfy the miniaturization requirement. The image-side surface of the ninth lens element has at least one convex critical point in an off-axis region thereof. Therefore, it is favorable for arranging the central light path with the periphery light path so as to obtain a proper back focal length for the imaging optical lens assembly. Please refer to  FIG.  28   , which shows a schematic view of critical points C on the object-side surface  191  and the image-side surface  192  of the ninth lens element  190  according to the 1st embodiment of the present disclosure. The critical points on the object-side surface of the first lens element, the object-side surface of the eighth lens element, the image-side surface of the eighth lens element, the object-side surface of the ninth lens element and the image-side surface of the ninth lens element in  FIG.  28    are only exemplary. The other lens elements may also have one or more critical points. 
     When a curvature radius of the object-side surface of the eighth lens element is R 15 , and a curvature radius of the image-side surface of the eighth lens element is R 16 , the following condition is satisfied: −0.75&lt;(R 15 +R 16 )/(R 15 −R 16 ). Therefore, it is favorable for providing the eighth lens element with sufficient structural strength and improved image quality. Moreover, the following condition can also be satisfied: −0.50&lt;(R 15 +R 16 )/(R 15 −R 16 ). Moreover, the following condition can also be satisfied: −0.30&lt;(R 15 +R 16 )/(R 15 −R 16 )&lt;4.0. Moreover, the following condition can also be satisfied: 0.0&lt;(R 15 +R 16 )/(R 15 −R 16 )&lt;3.50. Moreover, the following condition can also be satisfied: 0.30&lt;(R 15 +R 16 )/(R 15 −R 16 )&lt;3.0. 
     When an f-number of the imaging optical lens assembly is Fno, the following condition is satisfied: Fno&lt;2.60. Therefore, it is favorable for enhancing the aperture configuration so as to provide the imaging optical lens assembly sufficient incident light. Moreover, the following condition can also be satisfied: 1.0&lt;Fno&lt;2.30. Moreover, the following condition can also be satisfied: 1.20&lt;Fno&lt;2.10. 
     When a focal length of the imaging optical lens assembly is f, the curvature radius of the object-side surface of the eighth lens element is R 15 , and the curvature radius of the image-side surface of the eighth lens element is R 16 , the following condition can be satisfied: 1.0&lt;|f/R 15 |+|f/R 16 |. Therefore, the surface shape of the eighth lens element is favorable for correcting aberrations so as to improve image quality. Moreover, the following condition can also be satisfied: 1.33&lt;|f/R 15 |+|f/R 16 |&lt;8.0. 
     When an axial distance between the object-side surface of the first lens element and the image surface is TL, and a maximum image height of the imaging optical lens assembly (half of a diagonal length of an effective photosensitive area of an image sensor) is ImgH, the following condition can be satisfied: TL/ImgH&lt;3.0. Therefore, it is favorable for balancing between miniaturization and manufacturability of the imaging optical lens assembly. Moreover, the following condition can also be satisfied: TL/ImgH&lt;2.0. Moreover, the following condition can also be satisfied: 1.0&lt;TL/ImgH&lt;1.50. 
     When the focal length of the imaging optical lens assembly is f, the curvature radius of the image-side surface of the eighth lens element is R 16 , and a curvature radius of an object-side surface of the ninth lens element is R 17 , the following condition can be satisfied: 1.20&lt;|f/R 16 |+|f/R 17 |. Therefore, it is favorable for further reducing the back focal length so as to properly use the limited space inside the imaging optical lens assembly. Moreover, the following condition can also be satisfied: 1.60&lt;|f/R 16 |+|f/R 17 |&lt;8.0. 
     When a vertical distance between a non-axial critical point on the object-side surface of the eighth lens element and an optical axis is Yc 81 , and a vertical distance between a non-axial critical point on the image-side surface of the ninth lens element and the optical axis is Yc 92 , the following condition can be satisfied: 0.50&lt;Yc 92 /Yc 81 &lt;2.30. Therefore, it is favorable for correcting off-axis aberrations on the image side while controlling the back focal length. Moreover, the following condition can also be satisfied: 0.50&lt;Yc 92 /Yc 81 &lt;1.75. Please refer to  FIG.  28   , which shows a schematic view of Yc 81  and Yc 92  according to the 1st embodiment of the present disclosure. 
     When a total number of lens elements having an Abbe number smaller than 40 in the imaging optical lens assembly is V 40 , the following condition can be satisfied: 4≤V 40 . Therefore, it is favorable for correcting chromatic aberration. Moreover, when a total number of lens elements having an Abbe number smaller than 26 in the imaging optical lens assembly is V 26 , the following condition can be satisfied: 3≤V 26 . Moreover, when a total number of lens elements having an Abbe number smaller than 20 in the imaging optical lens assembly is V 20 , the following condition can be satisfied: 2≤V 20 . 
     When the axial distance between the object-side surface of the first lens element and the image surface is TL, and the focal length of the imaging optical lens assembly is f, the following condition can be satisfied: TL/f&lt;4.0. Therefore, it is favorable for effectively controlling the total track length of the imaging optical lens assembly so as to be configured in various devices. Moreover, the following condition can also be satisfied: TL/f&lt;1.40. Moreover, the following condition can also be satisfied: 1.40&lt;TL/f&lt;3.50. 
     When a maximum field of view of the imaging optical lens assembly is FOV, the following condition can be satisfied: 90 [deg.]&lt;FOV&lt;150 [deg.]. Therefore, it is favorable for providing the most commonly used imaging range so as to meet the specification requirement for the majority of products on the market. Moreover, the following condition can also be satisfied: 70 [deg.]&lt;FOV&lt;105 [deg.]. 
     When a curvature radius of the image-side surface of the ninth lens element is R 18 , and the maximum image height of the imaging optical lens assembly is ImgH, the following condition can be satisfied: R 18 /ImgH&lt;1.0. Therefore, it is favorable for reducing the back focal length so as to further minimize the total track length of the imaging optical lens assembly. Moreover, the following condition can also be satisfied: R 18 /ImgH&lt;0.75. Moreover, the following condition can also be satisfied: R 18 /ImgH&lt;0.70. 
     When the axial distance between the object-side surface of the first lens element and the image surface is TL, the maximum image height of the imaging optical lens assembly is ImgH, and a chief ray angle at a maximum image height position of the imaging optical lens assembly is CRA, the following condition can be satisfied: TL/[ImgH×tan(CRA)]&lt;3.0. Therefore, it is favorable for balancing between miniaturization and image quality of the imaging optical lens assembly. Moreover, the following condition can also be satisfied: TL/[ImgH×tan(CRA)]&lt;2.30. Please refer to  FIG.  30   , which shows a schematic view of CRA according to the 1st embodiment of the present disclosure, wherein a chief ray CR is projected on the image surface  196  at the maximum image height, and the angle between a normal line of the image surface  196  and the chief ray CR is the chief ray angle CRA. 
     When a maximum distance in parallel with the optical axis between the object-side surface and the image-side surface of the ninth lens element is MaxET 9 , and a distance in parallel with the optical axis between a maximum effective radius position of the object-side surface of the ninth lens element and a maximum effective radius position of the image-side surface of the ninth lens element is ET 9 , the following condition can be satisfied: 1.25&lt;MaxET 9 /ET 9 &lt;4.0. Therefore, it is favorable for ensuring the thickness of the ninth lens element is relatively uniform so as to provide sufficient structural strength. Moreover, the following condition can also be satisfied: 1.60&lt;MaxET 9 /ET 9 &lt;3.50. Please refer to  FIG.  29   , which shows a schematic view of MaxET 9  and ET 9  according to the 6th embodiment of the present disclosure. 
     When a maximum effective radius of the image-side surface of the ninth lens element is Y 92 , and an axial distance between the image-side surface of the ninth lens element and the image surface is BL, the following condition can be satisfied: 2.0&lt;Y 92 /BL&lt;20. Therefore, it is favorable for obtaining the proper back focal length so as to balance between miniaturization and image quality. Moreover, the following condition can also be satisfied: 3.0&lt;Y 92 /BL&lt;15. Moreover, the following condition can also be satisfied: 4.0&lt;Y 92 /BL&lt;10. Please refer to  FIG.  28   , which shows a schematic view of Y 92  according to the 1st embodiment of the present disclosure. 
     When an axial distance between the object-side surface of the first lens element and the image-side surface of the ninth lens element is Td, and a sum of central thicknesses of all lens elements of the imaging optical lens assembly is ΣCT, the following condition can be satisfied: Td/ΣCT&lt;2.0. Therefore, it is favorable for preventing overly large or small space between adjacent lens elements so as to optimize the space utilization of lens elements. Moreover, the following condition can also be satisfied: Td/ΣCT&lt;1.80. Moreover, the following condition can also be satisfied: 1.20&lt;Td/ΣCT&lt;1.70. 
     When a minimum value among Abbe numbers of all lens elements of the imaging optical lens assembly is Vmin, the following condition can be satisfied: Vmin&lt;20. Therefore, it is favorable for correcting chromatic aberration. 
     When an Abbe number of the first lens element is V 1 , an Abbe number of the second lens element is V 2 , an Abbe number of the third lens element is V 3 , an Abbe number of the fourth lens element is V 4 , an Abbe number of the fifth lens element is V 5 , an Abbe number of the sixth lens element is V 6 , an Abbe number of the seventh lens element is V 7 , an Abbe number of the eighth lens element is V 8 , an Abbe number of the ninth lens element is V 9 , an Abbe number of the i-th lens element is Vi, a refractive index of the first lens element is N 1 , a refractive index of the second lens element is N 2 , a refractive index of the third lens element is N 3 , a refractive index of the fourth lens element is N 4 , a refractive index of the fifth lens element is N 5 , a refractive index of the sixth lens element is N 6 , a refractive index of the seventh lens element is N 7 , a refractive index of the eighth lens element is N 8 , a refractive index of the ninth lens element is N 9 , and a refractive index of the i-th lens element is Ni, at least one lens element of the imaging optical lens assembly can satisfy the following condition: 6.0&lt;Vi/Ni&lt;12.0, wherein i=1, 2, 3, 4, 5, 6, 7, 8 or 9. Therefore, it is favorable for controlling the lens material and thus correcting chromatic aberration. Moreover, at least one lens element of the imaging optical lens assembly can also satisfy the following condition: 6.0&lt;Vi/Ni&lt;11.2, wherein i=1, 2, 3, 4, 5, 6, 7, 8 or 9. Moreover, at least one lens element of the imaging optical lens assembly can also satisfy the following condition: 7.5&lt;Vi/Ni&lt;10, wherein i=1, 2, 3, 4, 5, 6, 7, 8 or 9. 
     When a vertical distance between a non-axial critical point on the object-side surface of the first lens element and the optical axis is Yc 11 , and a maximum effective radius of the object-side surface of the first lens element is Y 11 , the following condition can be satisfied: Yc 11 /Y 11 &lt;0.75. Therefore, it is favorable for reducing the effective radius of the first lens element with a wide field of view so as to further minimize the imaging optical lens assembly for applications in various electronic devices or in devices with limited accommodation space. Moreover, the following condition can also be satisfied: 0.05&lt;Yc 11 /Y 11 &lt;0.60. Please refer to  FIG.  28   , which shows a schematic view of Yc 11  and Y 11  according to the 1st embodiment of the present disclosure. 
     When the focal length of the imaging optical lens assembly is f, a focal length of the first lens element is f 1 , a focal length of the second lens element is f 2 , a focal length of the third lens element is f 3 , a focal length of the fourth lens element is f 4 , a focal length of the fifth lens element is f 5 , a focal length of the sixth lens element is f 6 , a focal length of the seventh lens element is f 7 , a focal length of the eighth lens element is f 8 , and a focal length of the ninth lens element is f 9 , the following conditions can be satisfied: −1.5&lt;f/f 1 &lt;4.0; −3.0&lt;f/f 2 &lt;2.0; −3.0&lt;f/f 3 &lt;3.0; −3.0&lt;f/f 4 &lt;3.0; −3.0&lt;f/f 5 &lt;3.0; −3.0&lt;f/f 6 &lt;3.0; −3.0&lt;f/f 7 &lt;3.0; 0&lt;f/f 8 &lt;4.0; and −4.0&lt;f/f 9 &lt;2.0. Therefore, it is favorable for preventing overly large differences of refractive power among lens elements so as to prevent excessive image corrections or generation of ghost images due to extreme changes in surface shapes of lens elements. Moreover, the following conditions can also be satisfied: −1.0&lt;f/f 1 &lt;2.50; −1.50&lt;f/f 2 &lt;1.0; −2.0&lt;f/f 3 &lt;2.0; −2.0&lt;f/f 4 &lt;2.0; −2.0&lt;f/f 5 &lt;2.0; −2.0&lt;f/f 6 &lt;2.0; −2.0&lt;f/f 7 &lt;2.0; 0.50&lt;f/f 8 &lt;3.50; and −4.0&lt;f/f 9 &lt;0.0. Moreover, the following condition can also be satisfied: 1.0&lt;f/f 8 &lt;3.0. Moreover, the following condition can also be satisfied: −3.50&lt;f/f 9 &lt;−0.50. Moreover, the following condition can also be satisfied: −3.0&lt;f/f 9 &lt;−1.0. 
     When a vertical distance from the optical axis to a position representing the maximum distance in parallel with the optical axis between the object-side surface and the image-side surface of the ninth lens element is Y_MaxET 9  (i.e., when the maximum distance in parallel with the optical axis between the object-side surface and the image-side surface of the ninth lens element is MaxET 9 , a vertical distance from the optical axis to a position where said maximum distance (MaxET 9 ) is located is Y_MaxET 9 ), and the maximum effective radius of the image-side surface of the ninth lens element is Y 92 , the following condition can be satisfied: 0.40&lt;Y_MaxET 9 /Y 92 &lt;0.80. Therefore, it is favorable for providing the ninth lens element with sufficient structural strength. Moreover, the following condition can also be satisfied: 0.50&lt;Y_MaxET 9 /Y 92 &lt;0.75. Please refer to  FIG.  29   , which shows a schematic view of MaxET 9 , Y_MaxET 9  and Y 92  according to the 6th embodiment of the present disclosure. 
     According to the present disclosure, the aforementioned features and conditions can be utilized in numerous combinations so as to achieve corresponding effects. 
     According to the present disclosure, the lens elements of the imaging optical lens assembly can be made of either glass or plastic material. When the lens elements are made of glass material, the refractive power distribution of the imaging optical lens assembly may be more flexible, and the influence on imaging caused by external environment temperature change may be reduced. The glass lens element can either be made by grinding or molding. When the lens elements are made of plastic material, the manufacturing costs can be effectively reduced. Moreover, at least half number of lens elements of the imaging optical lens assembly provided by the present disclosure can be made of plastic material. Therefore, it is favorable for increasing shape design flexibility of lens elements, which is favorable for manufacturing lens elements and correcting aberrations. Furthermore, surfaces of each lens element can be arranged to be spherical or aspheric, wherein the former reduces manufacturing difficulty, and the latter allows more control variables for eliminating aberrations thereof, the required number of the lens elements can be reduced, and the total track length of the imaging optical lens assembly can be effectively shortened. Furthermore, the aspheric surfaces may be formed by plastic injection molding or glass molding. 
     According to the present disclosure, when a lens surface is aspheric, it means that the lens surface has an aspheric shape throughout its optically effective area, or a portion(s) thereof. 
     According to the present disclosure, one or more of the lens elements&#39; material may optionally include an additive which alters the lens elements&#39; transmittance in a specific range of wavelength for a reduction in unwanted stray light or color deviation. For example, the additive may optionally filter out light in the wavelength range of 600 nm to 800 nm to reduce excessive red light and/or near infrared light; or may optionally filter out light in the wavelength range of 350 nm to 450 nm to reduce excessive blue light and/or near ultraviolet light from interfering the final image. The additive may be homogeneously mixed with a plastic material to be used in manufacturing a mixed-material lens element by injection molding. According to the present disclosure, each of an object-side surface and an image-side surface has a paraxial region and an off-axis region. The paraxial region refers to the region of the surface where light rays travel close to the optical axis, and the off-axis region refers to the region of the surface away from the paraxial region. Particularly, unless otherwise stated, when the lens element has a convex surface, it indicates that the surface is convex in the paraxial region thereof; when the lens element has a concave surface, it indicates that the surface is concave in the paraxial region thereof. Moreover, when a region of refractive power or focus of a lens element is not defined, it indicates that the region of refractive power or focus of the lens element is in the paraxial region thereof. 
     According to the present disclosure, a critical point is a non-axial point of the lens surface where its tangent is perpendicular to the optical axis. 
     According to the present disclosure, the image surface of the imaging optical lens assembly, based on the corresponding image sensor, can be flat or curved, especially a curved surface being concave facing towards the object side of the imaging optical lens assembly. 
     According to the present disclosure, an image correction unit, such as a field flattener, can be optionally disposed between the lens element closest to the image side of the imaging optical lens assembly along the optical path and the image surface for correction of aberrations such as field curvature. The optical properties of the image correction unit, such as curvature, thickness, index of refraction, position and surface shape (convex or concave surface with spherical, aspheric, diffractive or Fresnel types), can be adjusted according to the design of the image capturing unit. In general, a preferable image correction unit is, for example, a thin transparent element having a concave object-side surface and a planar image-side surface, and the thin transparent element is disposed near the image surface. 
     According to the present disclosure, at least one light-folding element, such as a prism or a mirror, can be optionally disposed between an imaged object and the image surface on the imaging optical path, such that the imaging optical lens assembly can be more flexible in space arrangement, and therefore the dimensions of an electronic device is not restricted by the total track length of the imaging optical lens assembly. Specifically, please refer to  FIG.  31    and  FIG.  32   .  FIG.  31    shows a schematic view of a configuration of a light-folding element in an imaging optical lens assembly according to one embodiment of the present disclosure, and  FIG.  32    shows a schematic view of another configuration of a light-folding element in an imaging optical lens assembly according to one embodiment of the present disclosure. In  FIG.  31    and  FIG.  32   , the imaging optical lens assembly can have, in order from an imaged object (not shown in the figures) to an image surface IM along an optical path, a first optical axis OA 1 , a light-folding element LF and a second optical axis OA 2 . The light-folding element LF can be disposed between the imaged object and a lens group LG of the imaging optical lens assembly as shown in  FIG.  31    or disposed between a lens group LG of the imaging optical lens assembly and the image surface IM as shown in  FIG.  32   . Furthermore, please refer to  FIG.  33   , which shows a schematic view of a configuration of two light-folding elements in an imaging optical lens assembly according to one embodiment of the present disclosure. In  FIG.  33   , the imaging optical lens assembly can have, in order from an imaged object (not shown in the figure) to an image surface IM along an optical path, a first optical axis OA 1 , a first light-folding element LF 1 , a second optical axis  0 A 2 , a second light-folding element LF 2  and a third optical axis OA 3 . The first light-folding element LF 1  is disposed between the imaged object and a lens group LG of the imaging optical lens assembly, the second light-folding element LF 2  is disposed between the lens group LG of the imaging optical lens assembly and the image surface IM, and the travelling direction of light on the first optical axis OA 1  can be the same direction as the travelling direction of light on the third optical axis OA 3  as shown in  FIG.  33   . The imaging optical lens assembly can be optionally provided with three or more light-folding elements, and the present disclosure is not limited to the type, amount and position of the light-folding elements of the embodiments disclosed in the aforementioned figures. 
     According to the present disclosure, the imaging optical lens assembly can include at least one stop, such as an aperture stop, a glare stop or a field stop. Said glare stop or said field stop is set for eliminating the stray light and thereby improving image quality thereof. 
     According to the present disclosure, an aperture stop can be configured as a front stop or a middle stop. A front stop disposed between an imaged object and the first lens element can provide a longer distance between an exit pupil of the imaging optical lens assembly and the image surface to produce a telecentric effect, and thereby improves the image-sensing efficiency of an image sensor (for example, CCD or CMOS). A middle stop disposed between the first lens element and the image surface is favorable for enlarging the viewing angle of the imaging optical lens assembly and thereby provides a wider field of view for the same. 
     According to the present disclosure, the imaging optical lens assembly can include an aperture control unit. The aperture control unit may be a mechanical component or a light modulator, which can control the size and shape of the aperture through electricity or electrical signals. The mechanical component can include a movable member, such as a blade assembly or a light shielding sheet. The light modulator can include a shielding element, such as a filter, an electrochromic material or a liquid-crystal layer. The aperture control unit controls the amount of incident light or exposure time to enhance the capability of image quality adjustment. In addition, the aperture control unit can be the aperture stop of the present disclosure, which changes the f-number to obtain different image effects, such as the depth of field or lens speed. 
     According to the above description of the present disclosure, the following specific embodiments are provided for further explanation. 
     1st Embodiment 
       FIG.  1    is a schematic view of an image capturing unit according to the 1st embodiment of the present disclosure.  FIG.  2    shows, in order from left to right, spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 1st embodiment. In  FIG.  1   , the image capturing unit includes the imaging optical lens assembly (its reference numeral is omitted) of the present disclosure and an image sensor  199 . The imaging optical lens assembly includes, in order from an object side to an image side along an optical path, a first lens element  110 , a second lens element  120 , an aperture stop  100 , a third lens element  130 , a fourth lens element  140 , a fifth lens element  150 , a sixth lens element  160 , a seventh lens element  170 , an eighth lens element  180 , a ninth lens element  190 , an IR-cut filter  193  and an image surface  196 . In addition, the aperture stop  100  is attached on an object-side surface  131  of the third lens element  130 . The imaging optical lens assembly includes nine lens elements ( 110 ,  120 ,  130 ,  140 ,  150 ,  160 ,  170 ,  180  and  190 ) with no additional lens element disposed between each of the adjacent nine lens elements, wherein there is an air gap between each of all adjacent lens elements. 
     The first lens element  110  with negative refractive power has an object-side surface  111  being concave in a paraxial region thereof and an image-side surface  112  being concave in a paraxial region thereof. The first lens element  110  is made of plastic material and has the object-side surface  111  and the image-side surface  112  being both aspheric. The object-side surface  111  of the first lens element  110  has at least one convex critical point in an off-axis region thereof. 
     The second lens element  120  with positive refractive power has an object-side surface  121  being convex in a paraxial region thereof and an image-side surface  122  being concave in a paraxial region thereof. The second lens element  120  is made of plastic material and has the object-side surface  121  and the image-side surface  122  being both aspheric. 
     The third lens element  130  with positive refractive power has the object-side surface  131  being convex in a paraxial region thereof and an image-side surface  132  being concave in a paraxial region thereof. The third lens element  130  is made of plastic material and has the object-side surface  131  and the image-side surface  132  being both aspheric. 
     The fourth lens element  140  with negative refractive power has an object-side surface  141  being convex in a paraxial region thereof and an image-side surface  142  being concave in a paraxial region thereof. The fourth lens element  140  is made of plastic material and has the object-side surface  141  and the image-side surface  142  being both aspheric. 
     The fifth lens element  150  with positive refractive power has an object-side surface  151  being convex in a paraxial region thereof and an image-side surface  152  being convex in a paraxial region thereof. The fifth lens element  150  is made of plastic material and has the object-side surface  151  and the image-side surface  152  being both aspheric. 
     The sixth lens element  160  with positive refractive power has an object-side surface  161  being convex in a paraxial region thereof and an image-side surface  162  being convex in a paraxial region thereof. The sixth lens element  160  is made of plastic material and has the object-side surface  161  and the image-side surface  162  being both aspheric. 
     The seventh lens element  170  with negative refractive power has an object-side surface  171  being concave in a paraxial region thereof and an image-side surface  172  being convex in a paraxial region thereof. The seventh lens element  170  is made of plastic material and has the object-side surface  171  and the image-side surface  172  being both aspheric. 
     The eighth lens element  180  with positive refractive power has an object-side surface  181  being convex in a paraxial region thereof and an image-side surface  182  being convex in a paraxial region thereof. The eighth lens element  180  is made of plastic material and has the object-side surface  181  and the image-side surface  182  being both aspheric. The object-side surface  181  of the eighth lens element  180  has at least one critical point in an off-axis region thereof. The image-side surface  182  of the eighth lens element  180  has at least one critical point in an off-axis region thereof. 
     The ninth lens element  190  with negative refractive power has an object-side surface  191  being convex in a paraxial region thereof and an image-side surface  192  being concave in a paraxial region thereof. The ninth lens element  190  is made of plastic material and has the object-side surface  191  and the image-side surface  192  being both aspheric. The image-side surface  192  of the ninth lens element  190  has at least one convex critical point in an off-axis region thereof. 
     The IR-cut filter  193  is made of glass material and located between the ninth lens element  190  and the image surface  196 , and will not affect the focal length of the imaging optical lens assembly. The image sensor  199  is disposed on or near the image surface  196  of the imaging optical lens assembly. 
     The equation of the aspheric surface profiles of the aforementioned lens elements of the 1st embodiment is expressed as follows: 
     
       
         
           
             
               
                 X 
                 ⁡ 
                 ( 
                 Y 
                 ) 
               
               = 
               
                 
                   
                     ( 
                     
                       
                         Y 
                         2 
                       
                       / 
                       R 
                     
                     ) 
                   
                   / 
                   
                     ( 
                     
                       1 
                       + 
                       
                         s 
                         ⁢ 
                         q 
                         ⁢ 
                         r 
                         ⁢ 
                         
                           t 
                           ⁡ 
                           ( 
                           
                             1 
                             - 
                             
                               
                                 ( 
                                 
                                   1 
                                   + 
                                   k 
                                 
                                 ) 
                               
                               × 
                               
                                 
                                   ( 
                                   
                                     Y 
                                     / 
                                     R 
                                   
                                   ) 
                                 
                                 2 
                               
                             
                           
                           ) 
                         
                       
                     
                     ) 
                   
                 
                 + 
                 
                   
                     ∑ 
                     i 
                   
                   
                     
                       ( 
                       Ai 
                       ) 
                     
                     × 
                     
                       ( 
                       
                         Y 
                         i 
                       
                       ) 
                     
                   
                 
               
             
             , 
           
         
       
     
     where, 
     X is the relative distance between a point on the aspheric surface spaced at a distance Y from an optical axis and the tangential plane at the aspheric surface vertex on the optical axis; 
     Y is the vertical distance from the point on the aspheric surface to the optical axis; 
     R is the curvature radius; 
     k is the conic coefficient; and 
     Ai is the i-th aspheric coefficient, and in the embodiments, i may be, but is not limited to, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22 and 24. 
     In the imaging optical lens assembly of the image capturing unit according to the 1st embodiment, when a focal length of the imaging optical lens assembly is f, an f-number of the imaging optical lens assembly is Fno, and half of a maximum field of view of the imaging optical lens assembly is HFOV, these parameters have the following values: f=3.52 millimeters (mm), Fno=2.05, HFOV=61.2 degrees (deg.). 
     When the maximum field of view of the imaging optical lens assembly is FOV, the following condition is satisfied: FOV=122.4 [deg.]. 
     When an Abbe number of the first lens element  110  is V 1 , an Abbe number of the second lens element  120  is V 2 , an Abbe number of the third lens element  130  is V 3 , an Abbe number of the fourth lens element  140  is V 4 , an Abbe number of the fifth lens element  150  is V 5 , an Abbe number of the sixth lens element  160  is V 6 , an Abbe number of the seventh lens element  170  is V 7 , an Abbe number of the eighth lens element  180  is V 8 , an Abbe number of the ninth lens element  190  is V 9 , a refractive index of the first lens element  110  is N 1 , a refractive index of the second lens element  120  is N 2 , a refractive index of the third lens element  130  is N 3 , a refractive index of the fourth lens element  140  is N 4 , a refractive index of the fifth lens element  150  is N 5 , a refractive index of the sixth lens element  160  is N 6 , a refractive index of the seventh lens element  170  is N 7 , a refractive index of the eighth lens element  180  is N 8 , and a refractive index of the ninth lens element  190  is N 9 , the following conditions are satisfied: V 1 /N 1 =37.34; V 2 /N 2 =19.74; V 3 /N 3 =36.26; V 4 /N 4 =10.90; V 5 /N 5 =36.26; V 6 /N 6 =36.26; V 7 /N 7 =12.84; V 8 /N 8 =36.26; and V 9 /N 9 =36.46. 
     When a total number of lens elements having an Abbe number smaller than 20 in the imaging optical lens assembly is V 20 , the following condition is satisfied: V 20 =1. 
     When a total number of lens elements having an Abbe number smaller than 26 in the imaging optical lens assembly is V 26 , the following condition is satisfied: V 26 =2. 
     When a total number of lens elements having an Abbe number smaller than 40 in the imaging optical lens assembly is V 40 , the following condition is satisfied: V 40 =3. 
     When a minimum value among Abbe numbers of all lens elements of the imaging optical lens assembly is Vmin, the following condition is satisfied: Vmin=18.4. In this embodiment, among the first through ninth lens elements ( 110 - 190 ), the Abbe number of the fourth lens element  140  is smaller than Abbe numbers of the other lens elements, and Vmin is equal to the Abbe number of the fourth lens element  140 . 
     When an axial distance between the object-side surface  111  of the first lens element  110  and the image-side surface  192  of the ninth lens element  190  is Td, and a sum of central thicknesses of all lens elements of the imaging optical lens assembly is ΣCT, the following condition is satisfied: Td/ΣCT=1.66. In this embodiment, ΣCT is a sum of central thicknesses of the first lens element  110 , the second lens element  120 , the third lens element  130 , the fourth lens element  140 , the fifth lens element  150 , the sixth lens element  160 , the seventh lens element  170 , the eighth lens element  180  and the ninth lens element  190 . 
     When an axial distance between the object-side surface  111  of the first lens element  110  and the image surface  196  is TL, and the focal length of the imaging optical lens assembly is f, the following condition is satisfied: TL/f=3.13. 
     When the axial distance between the object-side surface  111  of the first lens element  110  and the image surface  196  is TL, and a maximum image height of the imaging optical lens assembly is ImgH, the following condition is satisfied: TL/ImgH=1.80. 
     When the axial distance between the object-side surface  111  of the first lens element  110  and the image surface  196  is TL, the maximum image height of the imaging optical lens assembly is ImgH, and a chief ray angle at a maximum image height position of the imaging optical lens assembly is CRA, the following condition is satisfied: TL/[ImgH×tan(CRA)]=2.67. 
     When a curvature radius of the object-side surface  181  of the eighth lens element  180  is R 15 , and a curvature radius of the image-side surface  182  of the eighth lens element  180  is R 16 , the following condition is satisfied: (R 15 +R 16 )/(R 15 −R 16 )=−0.20. 
     When the focal length of the imaging optical lens assembly is f, the curvature radius of the object-side surface  181  of the eighth lens element  180  is R 15 , and the curvature radius of the image-side surface  182  of the eighth lens element  180  is R 16 , the following condition is satisfied: |f/R 15 |+|f/R 16 |=1.64. 
     When the focal length of the imaging optical lens assembly is f, the curvature radius of the image-side surface  182  of the eighth lens element  180  is R 16 , and a curvature radius of the object-side surface  191  of the ninth lens element  190  is R 17 , the following condition is satisfied: |f/R 16 |+|f/R 17 |=1.94. 
     When a curvature radius of the image-side surface  192  of the ninth lens element  190  is R 18 , and a maximum image height of the imaging optical lens assembly is ImgH, the following condition is satisfied: R 18 /ImgH=0.21. 
     When a maximum effective radius of the image-side surface  192  of the ninth lens element  190  is Y 92 , and an axial distance between the image-side surface  192  of the ninth lens element  190  and the image surface  196  is BL, the following condition is satisfied: Y 92 /BL=3.25. 
     When a vertical distance between a non-axial critical point on the object-side surface  111  of the first lens element  110  and the optical axis is Yc 11 , and a maximum effective radius of the object-side surface  111  of the first lens element  110  is Y 11 , the following condition is satisfied: Yc 11 /Y 11 =0.35. 
     When a vertical distance between a non-axial critical point on the object-side surface  181  of the eighth lens element  180  and the optical axis is Yc 81 , and a vertical distance between a non-axial critical point on the image-side surface  192  of the ninth lens element  190  and the optical axis is Yc 92 , the following condition is satisfied: Yc 92 /Yc 81 =0.95. 
     When a maximum distance in parallel with the optical axis between the object-side surface  191  and the image-side surface  192  of the ninth lens element  190  is MaxET 9 , and a distance in parallel with the optical axis between a maximum effective radius position of the object-side surface  191  of the ninth lens element  190  and a maximum effective radius position of the image-side surface  192  of the ninth lens element  190  is ET 9 , the following condition is satisfied: MaxET 9 /ET 9 =2.39. 
     When a vertical distance from the optical axis to a position representing the maximum distance in parallel with the optical axis between the object-side surface  191  and the image-side surface  192  of the ninth lens element  190  is Y_MaxET 9 , and the maximum effective radius of the image-side surface  192  of the ninth lens element  190  is Y 92 , the following condition is satisfied: Y_MaxET 9 /Y 92 =0.90. 
     When the focal length of the imaging optical lens assembly is f, a focal length of the first lens element  110  is f 1 , a focal length of the second lens element  120  is f 2 , a focal length of the third lens element  130  is f 3 , a focal length of the fourth lens element  140  is f 4 , a focal length of the fifth lens element  150  is f 5 , a focal length of the sixth lens element  160  is f 6 , a focal length of the seventh lens element  170  is f 7 , a focal length of the eighth lens element  180  is f 8 , and a focal length of the ninth lens element  190  is f 9 , the following conditions are satisfied: f/f 1 =−0.61; f/f 2 =0.34; f/f 3 =0.23; f/f 4 =−0.17; f/f 5 =0.64; f/f 6 =0.44; f/f 7 =−0.59; f/f 8 =0.86; and f/f 9 =−0.71. 
     The detailed optical data of the 1st embodiment are shown in Table 1 and the aspheric surface data are shown in Table 2 below. 
     
       
         
           
               
             
               
                 TABLE 1 
               
             
            
               
                   
               
               
                 1st Embodiment 
               
               
                 f = 3.52 mm, Fno = 2.05, HFOV = 61.2 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 1 
                 Lens 1 
                 −17.296 
                 (ASP) 
                 0.528 
                 Plastic 
                 1.515 
                 56.6 
                 −5.72 
               
               
                 2 
                   
                 3.584 
                 (ASP) 
                 1.605 
                   
                   
                   
                   
               
               
                 3 
                 Lens 2 
                 2.310 
                 (ASP) 
                 0.988 
                 Plastic 
                 1.591 
                 31.4 
                 10.25 
               
               
                 4 
                   
                 3.143 
                 (ASP) 
                 0.599 
                   
                   
                   
                   
               
               
                 5 
                 Lens 3 
                 7.121 
                 (ASP) 
                 0.488 
                 Plastic 
                 1.544 
                 56.0 
                 15.26 
               
               
                 6 
                   
                 48.773 
                 (ASP) 
                 0.032 
                   
                   
                   
                   
               
               
                 7 
                 Lens 4 
                 157.255 
                 (ASP) 
                 0.250 
                 Plastic 
                 1.686 
                 18.4 
                 −20.89 
               
               
                 8 
                   
                 13.129 
                 (ASP) 
                 0.046 
                   
                   
                   
                   
               
               
                 9 
                 Lens 5 
                 11.462 
                 (ASP) 
                 1.060 
                 Plastic 
                 1.544 
                 56.0 
                 5.47 
               
               
                 10 
                   
                 −3.888 
                 (ASP) 
                 0.436 
                   
                   
                   
                   
               
               
                 11 
                 Lens 6 
                 7.096 
                 (ASP) 
                 0.712 
                 Plastic 
                 1.544 
                 56.0 
                 8.08 
               
               
                 12 
                   
                 −11.127 
                 (ASP) 
                 0.265 
                   
                   
                   
                   
               
               
                 13 
                 Lens 7 
                 −2.560 
                 (ASP) 
                 0.306 
                 Plastic 
                 1.656 
                 21.3 
                 −5.91 
               
               
                 14 
                   
                 −7.892 
                 (ASP) 
                 0.432 
                   
                   
                   
                   
               
               
                 15 
                 Lens 8 
                 3.578 
                 (ASP) 
                 0.935 
                 Plastic 
                 1.544 
                 56.0 
                 4.10 
               
               
                 16 
                   
                 −5.366 
                 (ASP) 
                 0.363 
                   
                   
                   
                   
               
               
                 17 
                 Lens 9 
                 2.740 
                 (ASP) 
                 0.420 
                 Plastic 
                 1.534 
                 55.9 
                 −4.97 
               
               
                 18 
                   
                 1.277 
                 (ASP) 
                 1.000 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 19 
                 IR-cut filter 
                 Plano 
                 0.210 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 20 
                   
                 Plano 
                 0.331 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 21 
                 Image 
                 Plano 
                 0.000 
                   
                   
                   
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
               
                 The aperture stop 100 is located on the object-side surface 131 (Surface 5). 
               
               
                 An effective radius of the object-side surface 181 (Surface 15) is 3.970 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 2 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface # 
                 1 
                 2 
                 3 
                 4 
                 5 
               
               
                   
               
               
                 k = 
                 −9.9000E+01 
                 −3.1280E−01 
                  2.5641E−02 
                 3.0490E+00 
                 −3.4664E+00 
               
               
                 A4 = 
                  3.7972E−03 
                 −1.2114E−03 
                 −4.8821E−04 
                 1.9813E−02 
                  2.1922E−03 
               
               
                 A6 = 
                 −7.0074E−05 
                  9.1465E−04 
                  5.1027E−03 
                 2.2066E−02 
                  6.1279E−03 
               
               
                 A8 = 
                 −2.0921E−05 
                 −2.0240E−04 
                 −6.4883E−03 
                 −6.0807E−02  
                 −3.3035E−02 
               
               
                 A10 = 
                  3.3467E−06 
                  5.2806E−05 
                  9.1445E−03 
                 1.5368E−01 
                  7.3160E−02 
               
               
                 A12 = 
                 −2.5930E−07 
                 −1.3865E−05 
                 −7.6884E−03 
                 −2.2827E−01  
                 −1.0508E−01 
               
               
                 A14 = 
                  1.2320E−08 
                  2.3529E−06 
                  4.0589E−03 
                 2.1157E−01 
                  9.6858E−02 
               
               
                 A16 = 
                 −3.6530E−10 
                 −2.1401E−07 
                 −1.2938E−03 
                 −1.1735E−01  
                 −5.6316E−02 
               
               
                 A18 = 
                  6.2570E−12 
                  9.2416E−09 
                  2.2987E−04 
                 3.5856E−02 
                  1.8913E−02 
               
               
                 A20 = 
                 −4.7681E−14 
                 −1.4467E−10 
                 −1.7459E−05 
                 −4.6086E−03  
                 −2.8505E−03 
               
               
                   
               
               
                 Surface # 
                 6 
                 7 
                 8 
                 9 
                 10 
               
               
                   
               
               
                 k = 
                 −1.0000E+00 
                 −1.0000E+00 
                 −3.4484E+01 
                 −4.9698E+00 
                 −1.1561E+01 
               
               
                 A4 = 
                  7.2730E−03 
                  3.5007E−03 
                  5.6641E−03 
                  4.9173E−03 
                 −6.6966E−02 
               
               
                 A6 = 
                 −6.8161E−02 
                 −5.7645E−02 
                 −3.1830E−02 
                 −2.2288E−02 
                  3.0288E−02 
               
               
                 A8 = 
                  1.4585E−01 
                  1.2029E−01 
                  6.4224E−02 
                  3.6668E−02 
                 −3.8723E−02 
               
               
                 A10 = 
                 −2.2130E−01 
                 −1.5466E−01 
                 −6.6729E−02 
                 −3.3999E−02 
                  4.0354E−02 
               
               
                 A12 = 
                  2.3787E−01 
                  1.4263E−01 
                  4.2162E−02 
                  1.9305E−02 
                 −3.0599E−02 
               
               
                 A14 = 
                 −1.7967E−01 
                 −9.8994E−02 
                 −1.6552E−02 
                 −6.4302E−03 
                  1.5874E−02 
               
               
                 A16 = 
                  8.7935E−02 
                  4.7560E−02 
                  3.7884E−03 
                  1.1504E−03 
                 −5.2679E−03 
               
               
                 A18 = 
                 −2.4243E−02 
                 −1.3287E−02 
                 −4.1705E−04 
                 −8.0193E−05 
                  1.0024E−03 
               
               
                 A20 = 
                  2.7606E−03 
                  1.5608E−03 
                  1.0500E−05 
                 −1.3794E−06 
                 −8.1570E−05 
               
               
                   
               
               
                 Surface # 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k = 
                 −1.1612E+01 
                 −9.0000E+01 
                 −3.0734E+00 
                  1.1558E+00 
                 −3.2766E+00 
               
               
                 A4 = 
                 −3.7127E−02 
                 −2.2332E−02 
                 −1.5108E−02 
                 −2.1285E−02 
                  1.9428E−02 
               
               
                 A6 = 
                  1.3692E−02 
                 −2.1752E−02 
                 −2.8846E−02 
                 −1.1254E−03 
                 −8.6980E−03 
               
               
                 A8 = 
                 −1.0854E−02 
                  3.6772E−02 
                  4.9540E−02 
                  1.0165E−02 
                  1.4585E−03 
               
               
                 A10 = 
                  3.7636E−03 
                 −3.0695E−02 
                 −3.4386E−02 
                 −5.2739E−03 
                 −9.7640E−05 
               
               
                 A12 = 
                 −1.0013E−03 
                  1.4829E−02 
                  1.3710E−02 
                  1.3573E−03 
                 −7.7868E−06 
               
               
                 A14 = 
                  3.7458E−04 
                 −4.5274E−03 
                 −3.4824E−03 
                 −2.0344E−04 
                  1.9068E−06 
               
               
                 A16 = 
                 −1.5521E−04 
                  8.6484E−04 
                  5.6491E−04 
                  1.8047E−05 
                 −1.3846E−07 
               
               
                 A18 = 
                  3.6362E−05 
                 −9.4050E−05 
                 −5.3446E−05 
                 −8.8221E−07 
                  4.5588E−09 
               
               
                 A20 = 
                 −3.2360E−06 
                  4.4247E−06 
                  2.1990E−06 
                  1.8406E−08 
                 −5.7917E−11 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface # 
                 16 
                 17 
                 18 
               
               
                   
                   
               
               
                   
                 k = 
                 −5.8253E+01 
                 −1.2174E+00 
                 −2.8796E+00 
               
               
                   
                 A4 = 
                  9.7015E−02 
                 −6.8284E−03 
                 −2.3656E−02 
               
               
                   
                 A6 = 
                 −3.6627E−02 
                 −3.1458E−02 
                 −5.7674E−03 
               
               
                   
                 A8 = 
                  8.3603E−03 
                  1.5462E−02 
                  3.6810E−03 
               
               
                   
                 A10 = 
                 −1.2743E−03 
                 −3.8108E−03 
                 −7.8844E−04 
               
               
                   
                 A12 = 
                  1.2907E−04 
                  5.7478E−04 
                  9.0872E−05 
               
               
                   
                 A14 = 
                 −8.5012E−06 
                 −5.6382E−05 
                 −6.1460E−06 
               
               
                   
                 A16 = 
                  3.4712E−07 
                  3.6674E−06 
                  2.4194E−07 
               
               
                   
                 A18 = 
                 −7.9326E−09 
                 −1.5692E−07 
                 −4.8350E−09 
               
               
                   
                 A20 = 
                  7.7227E−11 
                  4.2430E−09 
                  1.4323E−11 
               
               
                   
                 A22 = 
                 — 
                 −6.5683E−11 
                  1.1330E−12 
               
               
                   
                 A24 = 
                 — 
                  4.4333E−13 
                 −1.4261E−14 
               
               
                   
                   
               
            
           
         
       
     
     In Table 1, the curvature radius, the thickness and the focal length are shown in millimeters (mm). Surface numbers  0 - 21  represent the surfaces sequentially arranged from the object side to the image side along the optical axis. In Table 2, k represents the conic coefficient of the equation of the aspheric surface profiles. A 4 - 24  represent the aspheric coefficients ranging from the 4th order to the 24th order. The tables presented below for each embodiment are the corresponding schematic parameter and aberration curves, and the definitions of the tables are the same as Table 1 and Table 2 of the 1st embodiment. Therefore, an explanation in this regard will not be provided again. 
     2nd Embodiment 
       FIG.  3    is a schematic view of an image capturing unit according to the 2nd embodiment of the present disclosure.  FIG.  4    shows, in order from left to right, spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 2nd embodiment. In  FIG.  3   , the image capturing unit includes the imaging optical lens assembly (its reference numeral is omitted) of the present disclosure and an image sensor  299 . The imaging optical lens assembly includes, in order from an object side to an image side along an optical path, a first lens element  210 , a second lens element  220 , an aperture stop  200 , a third lens element  230 , a fourth lens element  240 , a fifth lens element  250 , a sixth lens element  260 , a seventh lens element  270 , an eighth lens element  280 , a ninth lens element  290 , an IR-cut filter  293  and an image surface  296 . In addition, the aperture stop  200  is attached on an object-side surface  231  of the third lens element  230 . The imaging optical lens assembly includes nine lens elements ( 210 ,  220 ,  230 ,  240 ,  250 ,  260 ,  270 ,  280  and  290 ) with no additional lens element disposed between each of the adjacent nine lens elements, wherein there is an air gap between each of all adjacent lens elements. 
     The first lens element  210  with negative refractive power has an object-side surface  211  being concave in a paraxial region thereof and an image-side surface  212  being concave in a paraxial region thereof. The first lens element  210  is made of plastic material and has the object-side surface  211  and the image-side surface  212  being both aspheric. The object-side surface  211  of the first lens element  210  has at least one convex critical point in an off-axis region thereof. 
     The second lens element  220  with positive refractive power has an object-side surface  221  being convex in a paraxial region thereof and an image-side surface  222  being concave in a paraxial region thereof. The second lens element  220  is made of plastic material and has the object-side surface  221  and the image-side surface  222  being both aspheric. 
     The third lens element  230  with positive refractive power has the object-side surface  231  being convex in a paraxial region thereof and an image-side surface  232  being concave in a paraxial region thereof. The third lens element  230  is made of plastic material and has the object-side surface  231  and the image-side surface  232  being both aspheric. 
     The fourth lens element  240  with negative refractive power has an object-side surface  241  being concave in a paraxial region thereof and an image-side surface  242  being concave in a paraxial region thereof. The fourth lens element  240  is made of plastic material and has the object-side surface  241  and the image-side surface  242  being both aspheric. 
     The fifth lens element  250  with positive refractive power has an object-side surface  251  being convex in a paraxial region thereof and an image-side surface  252  being convex in a paraxial region thereof. The fifth lens element  250  is made of plastic material and has the object-side surface  251  and the image-side surface  252  being both aspheric. 
     The sixth lens element  260  with positive refractive power has an object-side surface  261  being convex in a paraxial region thereof and an image-side surface  262  being convex in a paraxial region thereof. The sixth lens element  260  is made of plastic material and has the object-side surface  261  and the image-side surface  262  being both aspheric. 
     The seventh lens element  270  with negative refractive power has an object-side surface  271  being concave in a paraxial region thereof and an image-side surface  272  being convex in a paraxial region thereof. The seventh lens element  270  is made of plastic material and has the object-side surface  271  and the image-side surface  272  being both aspheric. 
     The eighth lens element  280  with positive refractive power has an object-side surface  281  being convex in a paraxial region thereof and an image-side surface  282  being convex in a paraxial region thereof. The eighth lens element  280  is made of plastic material and has the object-side surface  281  and the image-side surface  282  being both aspheric. The object-side surface  281  of the eighth lens element  280  has at least one critical point in an off-axis region thereof. The image-side surface  282  of the eighth lens element  280  has at least one critical point in an off-axis region thereof. 
     The ninth lens element  290  with negative refractive power has an object-side surface  291  being convex in a paraxial region thereof and an image-side surface  292  being concave in a paraxial region thereof. The ninth lens element  290  is made of plastic material and has the object-side surface  291  and the image-side surface  292  being both aspheric. The image-side surface  292  of the ninth lens element  290  has at least one convex critical point in an off-axis region thereof. 
     The IR-cut filter  293  is made of glass material and located between the ninth lens element  290  and the image surface  296 , and will not affect the focal length of the imaging optical lens assembly. The image sensor  299  is disposed on or near the image surface  296  of the imaging optical lens assembly. 
     The detailed optical data of the 2nd embodiment are shown in Table 3 and the aspheric surface data are shown in Table 4 below. 
     
       
         
           
               
             
               
                 TABLE 3 
               
             
            
               
                   
               
               
                 2nd Embodiment 
               
               
                 f = 3.59 mm, Fno = 2.08, HFOV = 62.3 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 1 
                 Lens 1 
                 −11.986 
                 (ASP) 
                 0.400 
                 Plastic 
                 1.515 
                 56.6 
                 −5.78 
               
               
                 2 
                   
                 3.998 
                 (ASP) 
                 1.515 
                   
                   
                   
                   
               
               
                 3 
                 Lens 2 
                 2.270 
                 (ASP) 
                 0.933 
                 Plastic 
                 1.583 
                 30.2 
                 10.03 
               
               
                 4 
                   
                 3.151 
                 (ASP) 
                 0.573 
                   
                   
                   
                   
               
               
                 5 
                 Lens 3 
                 6.943 
                 (ASP) 
                 0.407 
                 Plastic 
                 1.544 
                 56.0 
                 15.18 
               
               
                 6 
                   
                 42.638 
                 (ASP) 
                 0.059 
                   
                   
                   
                   
               
               
                 7 
                 Lens 4 
                 −450.357 
                 (ASP) 
                 0.251 
                 Plastic 
                 1.686 
                 18.4 
                 −24.91 
               
               
                 8 
                   
                 17.766 
                 (ASP) 
                 0.032 
                   
                   
                   
                   
               
               
                 9 
                 Lens 5 
                 15.834 
                 (ASP) 
                 1.003 
                 Plastic 
                 1.544 
                 56.0 
                 5.06 
               
               
                 10 
                   
                 −3.257 
                 (ASP) 
                 0.588 
                   
                   
                   
                   
               
               
                 11 
                 Lens 6 
                 12.578 
                 (ASP) 
                 0.514 
                 Plastic 
                 1.544 
                 56.0 
                 12.04 
               
               
                 12 
                   
                 −13.477 
                 (ASP) 
                 0.305 
                   
                   
                   
                   
               
               
                 13 
                 Lens 7 
                 −2.795 
                 (ASP) 
                 0.287 
                 Plastic 
                 1.686 
                 18.4 
                 −7.41 
               
               
                 14 
                   
                 −6.469 
                 (ASP) 
                 0.450 
                   
                   
                   
                   
               
               
                 15 
                 Lens 8 
                 3.838 
                 (ASP) 
                 0.850 
                 Plastic 
                 1.544 
                 56.0 
                 4.36 
               
               
                 16 
                   
                 −5.728 
                 (ASP) 
                 0.373 
                   
                   
                   
                   
               
               
                 17 
                 Lens 9 
                 2.604 
                 (ASP) 
                 0.424 
                 Plastic 
                 1.515 
                 56.6 
                 −4.79 
               
               
                 18 
                   
                 1.196 
                 (ASP) 
                 1.000 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 19 
                 IR-cut filter 
                 Plano 
                 0.210 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
            
           
           
               
               
               
               
               
               
               
            
               
                 20 
                   
                 Plano 
                 0.328 
                   
                   
                   
               
               
                 21 
                 Image 
                 Plano 
                 0.000 
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
               
                 The aperture stop 200 is located on the object-side surface 231 (Surface 5). 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 4 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface # 
                 1 
                 2 
                 3 
                 4 
                 5 
               
               
                   
               
               
                 k = 
                 −9.8363E+01 
                 −2.7766E−01 
                 −7.8274E−02 
                 2.9188E+00 
                 −1.8529E+00 
               
               
                 A4 = 
                  3.5461E−03 
                  2.1556E−03 
                  6.0809E−04 
                 2.6127E−02 
                  2.7549E−03 
               
               
                 A6 = 
                  5.6951E−05 
                 −1.3287E−03 
                 −2.7839E−03 
                 −5.2469E−03  
                  8.1475E−03 
               
               
                 A8 = 
                 −4.6957E−05 
                  9.1200E−04 
                  1.0196E−02 
                 4.0573E−02 
                 −4.3517E−02 
               
               
                 A10 = 
                  7.0465E−06 
                 −3.2480E−04 
                 −1.0923E−02 
                 −6.2517E−02  
                  1.1027E−01 
               
               
                 A12 = 
                 −5.9483E−07 
                  7.3640E−05 
                  7.4838E−03 
                 6.1552E−02 
                 −1.7580E−01 
               
               
                 A14 = 
                  3.1605E−08 
                 −1.0803E−05 
                 −3.1024E−03 
                 −3.2455E−02  
                  1.7712E−01 
               
               
                 A16 = 
                 −1.0495E−09 
                  1.0126E−06 
                  7.4787E−04 
                 8.9817E−03 
                 −1.1283E−01 
               
               
                 A18 = 
                  2.0034E−11 
                 −5.4948E−08 
                 −8.8441E−05 
                 −8.7925E−04  
                  4.1962E−02 
               
               
                 A20 = 
                 −1.6937E−13 
                  1.2832E−09 
                  3.0441E−06 
                 — 
                 −7.0395E−03 
               
               
                   
               
               
                 Surface # 
                 6 
                 7 
                 8 
                 9 
                 10 
               
               
                   
               
               
                 k = 
                 −1.0000E+00 
                 −1.0000E+00 
                 −7.6689E+00 
                  2.8755E+01 
                 −9.2998E+00 
               
               
                 A4 = 
                 −2.7793E−03 
                 −6.4248E−03 
                  1.0330E−02 
                  1.3102E−02 
                 −5.9928E−02 
               
               
                 A6 = 
                 −3.9311E−02 
                 −4.1714E−02 
                 −5.5691E−02 
                 −5.1853E−02 
                  1.6078E−02 
               
               
                 A8 = 
                  1.0365E−01 
                  1.1733E−01 
                  1.1770E−01 
                  9.5623E−02 
                 −1.5019E−02 
               
               
                 A10 = 
                 −1.9734E−01 
                 −1.9731E−01 
                 −1.2988E−01 
                 −1.0045E−01 
                  1.2933E−02 
               
               
                 A12 = 
                  2.7330E−01 
                  2.4584E−01 
                  8.4994E−02 
                  6.3064E−02 
                 −1.0147E−02 
               
               
                 A14 = 
                 −2.6105E−01 
                 −2.1967E−01 
                 −3.2691E−02 
                 −2.2594E−02 
                  6.3148E−03 
               
               
                 A16 = 
                  1.5394E−01 
                  1.2513E−01 
                  6.4783E−03 
                  3.9239E−03 
                 −2.6459E−03 
               
               
                 A18 = 
                 −4.8916E−02 
                 −3.9183E−02 
                 −3.3822E−04 
                 −1.0207E−04 
                  6.3801E−04 
               
               
                 A20 = 
                  6.2113E−03 
                  5.0334E−03 
                 −5.0989E−05 
                 −3.9335E−05 
                 −6.3584E−05 
               
               
                   
               
               
                 Surface # 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k = 
                 −3.6213E+01 
                 −3.0279E+00 
                 −3.1922E+00 
                  1.2660E+00 
                 −3.1600E+00 
               
               
                 A4 = 
                 −3.3475E−02 
                 −1.3629E−02 
                 −6.9276E−03 
                 −1.4134E−02 
                  4.1998E−02 
               
               
                 A6 = 
                  4.4259E−03 
                 −3.6403E−02 
                 −5.4804E−02 
                 −2.2095E−02 
                 −2.0329E−02 
               
               
                 A8 = 
                 −6.4679E−04 
                  4.9848E−02 
                  7.7520E−02 
                  3.1054E−02 
                  3.8964E−03 
               
               
                 A10 = 
                 −2.7616E−03 
                 −3.6322E−02 
                 −4.7998E−02 
                 −1.5719E−02 
                 −3.3145E−04 
               
               
                 A12 = 
                  6.8407E−04 
                  1.5556E−02 
                  1.6581E−02 
                  4.3471E−03 
                 −2.4977E−06 
               
               
                 A14 = 
                  7.2188E−04 
                 −4.1998E−03 
                 −3.4759E−03 
                 −7.1850E−04 
                  2.8171E−06 
               
               
                 A16 = 
                 −4.9528E−04 
                  7.0961E−04 
                  4.4387E−04 
                  7.1146E−05 
                 −2.2509E−07 
               
               
                 A18 = 
                  1.1837E−04 
                 −6.8021E−05 
                 −3.1387E−05 
                 −3.9150E−06 
                  7.6212E−09 
               
               
                 A20 = 
                 −1.0103E−05 
                  2.7874E−06 
                  8.4779E−07 
                  9.2525E−08 
                 −9.8139E−11 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface # 
                 16 
                 17 
                 18 
               
               
                   
                   
               
               
                   
                 k = 
                 −4.9947E+01 
                 −1.2217E+00 
                 −2.9779E+00 
               
               
                   
                 A4 = 
                  1.4197E−01 
                 −8.1731E−03 
                 −2.6040E−02 
               
               
                   
                 A6 = 
                 −6.0244E−02 
                 −3.4202E−02 
                 −5.6518E−03 
               
               
                   
                 A8 = 
                  1.4435E−02 
                  1.7927E−02 
                  3.6753E−03 
               
               
                   
                 A10 = 
                 −2.2140E−03 
                 −4.5662E−03 
                 −7.0471E−04 
               
               
                   
                 A12 = 
                  2.2241E−04 
                  6.9794E−04 
                  6.4533E−05 
               
               
                   
                 A14 = 
                 −1.4495E−05 
                 −6.8598E−05 
                 −2.5161E−06 
               
               
                   
                 A16 = 
                  5.8670E−07 
                  4.4422E−06 
                 −3.7525E−08 
               
               
                   
                 A18 = 
                 −1.3328E−08 
                 −1.8853E−07 
                  8.0530E−09 
               
               
                   
                 A20 = 
                  1.2933E−10 
                  5.0454E−09 
                 −3.4037E−10 
               
               
                   
                 A22 = 
                 — 
                 −7.7199E−11 
                  6.5156E−12 
               
               
                   
                 A24 = 
                 — 
                  5.1459E−13 
                 −4.8968E−14 
               
               
                   
                   
               
            
           
         
       
     
     In the 2nd embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 2nd embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from Table 3 and Table 4 as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 2nd Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 f [mm] 
                 3.59 
                 TL/[ImgH × tan(CRA)] 
                 2.97 
               
               
                   
                 Fno 
                 2.08 
                 (R15 + R16)/(R15 − R16) 
                 −0.20 
               
               
                   
                 HFOV [deg.] 
                 62.3 
                 |f/R15| + |f/R16| 
                 1.56 
               
               
                   
                 FOV [deg.] 
                 124.6 
                 |f/R16| + |f/R17| 
                 2.01 
               
               
                   
                 V1/N1 
                 37.34 
                 R18/ImgH 
                 0.20 
               
               
                   
                 V2/N2 
                 19.11 
                 Y92/BL 
                 3.36 
               
               
                   
                 V3/N3 
                 36.26 
                 Yc11/Y11 
                 0.39 
               
               
                   
                 V4/N4 
                 10.90 
                 Yc92/Yc81 
                 1.01 
               
               
                   
                 V5/N5 
                 36.26 
                 MaxET9/ET9 
                 3.16 
               
               
                   
                 V6/N6 
                 36.26 
                 Y_MaxET9/Y92 
                 0.92 
               
               
                   
                 V7/N7 
                 10.90 
                 f/f1 
                 −0.62 
               
               
                   
                 V8/N8 
                 36.26 
                 f/f2 
                 0.36 
               
               
                   
                 V9/N9 
                 37.34 
                 f/f3 
                 0.24 
               
               
                   
                 V20 
                 2 
                 f/f4 
                 −0.14 
               
               
                   
                 V26 
                 2 
                 f/f5 
                 0.71 
               
               
                   
                 V40 
                 3 
                 f/f6 
                 0.30 
               
               
                   
                 Vmin 
                 18.4 
                 f/f7 
                 −0.48 
               
               
                   
                 Td/ΣCT 
                 1.77 
                 f/f8 
                 0.82 
               
               
                   
                 TL/f 
                 2.92 
                 f/f9 
                 −0.75 
               
               
                   
                 TL/ImgH 
                 1.71 
                 — 
                 — 
               
               
                   
                   
               
            
           
         
       
     
     3rd Embodiment 
       FIG.  5    is a schematic view of an image capturing unit according to the 3rd embodiment of the present disclosure.  FIG.  6    shows, in order from left to right, spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 3rd embodiment. In  FIG.  5   , the image capturing unit includes the imaging optical lens assembly (its reference numeral is omitted) of the present disclosure and an image sensor  399 . The imaging optical lens assembly includes, in order from an object side to an image side along an optical path, a first lens element  310 , a second lens element  320 , an aperture stop  300 , a third lens element  330 , a fourth lens element  340 , a stop  301 , a fifth lens element  350 , a sixth lens element  360 , a seventh lens element  370 , an eighth lens element  380 , a ninth lens element  390 , an IR-cut filter  393  and an image surface  396 . The imaging optical lens assembly includes nine lens elements ( 310 ,  320 ,  330 ,  340 ,  350 ,  360 ,  370 ,  380  and  390 ) with no additional lens element disposed between each of the adjacent nine lens elements, wherein there is an air gap between each of all adjacent lens elements. 
     The first lens element  310  with positive refractive power has an object-side surface  311  being concave in a paraxial region thereof and an image-side surface  312  being convex in a paraxial region thereof. The first lens element  310  is made of plastic material and has the object-side surface  311  and the image-side surface  312  being both aspheric. The object-side surface  311  of the first lens element  310  has at least one convex critical point in an off-axis region thereof. The image-side surface  312  of the first lens element  310  has at least one critical point in an off-axis region thereof. 
     The second lens element  320  with positive refractive power has an object-side surface  321  being convex in a paraxial region thereof and an image-side surface  322  being concave in a paraxial region thereof. The second lens element  320  is made of plastic material and has the object-side surface  321  and the image-side surface  322  being both aspheric. 
     The third lens element  330  with negative refractive power has an object-side surface  331  being convex in a paraxial region thereof and an image-side surface  332  being concave in a paraxial region thereof. The third lens element  330  is made of plastic material and has the object-side surface  331  and the image-side surface  332  being both aspheric. 
     The fourth lens element  340  with positive refractive power has an object-side surface  341  being concave in a paraxial region thereof and an image-side surface  342  being convex in a paraxial region thereof. The fourth lens element  340  is made of plastic material and has the object-side surface  341  and the image-side surface  342  being both aspheric. 
     The fifth lens element  350  with positive refractive power has an object-side surface  351  being concave in a paraxial region thereof and an image-side surface  352  being convex in a paraxial region thereof. The fifth lens element  350  is made of plastic material and has the object-side surface  351  and the image-side surface  352  being both aspheric. 
     The sixth lens element  360  with negative refractive power has an object-side surface  361  being concave in a paraxial region thereof and an image-side surface  362  being concave in a paraxial region thereof. The sixth lens element  360  is made of plastic material and has the object-side surface  361  and the image-side surface  362  being both aspheric. 
     The seventh lens element  370  with negative refractive power has an object-side surface  371  being concave in a paraxial region thereof and an image-side surface  372  being convex in a paraxial region thereof. The seventh lens element  370  is made of plastic material and has the object-side surface  371  and the image-side surface  372  being both aspheric. 
     The eighth lens element  380  with positive refractive power has an object-side surface  381  being concave in a paraxial region thereof and an image-side surface  382  being convex in a paraxial region thereof. The eighth lens element  380  is made of plastic material and has the object-side surface  381  and the image-side surface  382  being both aspheric. The object-side surface  381  of the eighth lens element  380  has at least one critical point in an off-axis region thereof. 
     The ninth lens element  390  with negative refractive power has an object-side surface  391  being convex in a paraxial region thereof and an image-side surface  392  being concave in a paraxial region thereof. The ninth lens element  390  is made of plastic material and has the object-side surface  391  and the image-side surface  392  being both aspheric. The image-side surface  392  of the ninth lens element  390  has at least one convex critical point in an off-axis region thereof. 
     The IR-cut filter  393  is made of glass material and located between the ninth lens element  390  and the image surface  396 , and will not affect the focal length of the imaging optical lens assembly. The image sensor  399  is disposed on or near the image surface  396  of the imaging optical lens assembly. 
     The detailed optical data of the 3rd embodiment are shown in Table  5  and the aspheric surface data are shown in Table  6  below. 
     
       
         
           
               
             
               
                 TABLE 5 
               
             
            
               
                   
               
               
                 3rd Embodiment 
               
               
                 f = 4.51 mm, Fno = 1.90, HFOV = 48.1 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 1 
                 Lens 1 
                 −3.918 
                 (ASP) 
                 0.372 
                 Plastic 
                 1.559 
                 40.4 
                 448.07 
               
               
                 2 
                   
                 −3.989 
                 (ASP) 
                 0.030 
                   
                   
                   
                   
               
               
                 3 
                 Lens 2 
                 1.926 
                 (ASP) 
                 0.541 
                 Plastic 
                 1.559 
                 40.4 
                 11.43 
               
               
                 4 
                   
                 2.480 
                 (ASP) 
                 0.209 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 5 
                 Ape. Stop 
                 Plano 
                 0.159 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 6 
                 Lens 3 
                 12.024 
                 (ASP) 
                 0.250 
                 Plastic 
                 1.607 
                 26.6 
                 −135.70 
               
               
                 7 
                   
                 10.411 
                 (ASP) 
                 0.107 
                   
                   
                   
                   
               
               
                 8 
                 Lens 4 
                 −133.041 
                 (ASP) 
                 0.758 
                 Plastic 
                 1.544 
                 55.9 
                 4.89 
               
               
                 9 
                   
                 −2.610 
                 (ASP) 
                 −0.380 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 10 
                 Stop 
                 Plano 
                 0.426 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 11 
                 Lens 5 
                 −115.010 
                 (ASP) 
                 0.250 
                 Plastic 
                 1.686 
                 18.4 
                 12.41 
               
               
                 12 
                   
                 −7.932 
                 (ASP) 
                 0.050 
                   
                   
                   
                   
               
               
                 13 
                 Lens 6 
                 −9.109 
                 (ASP) 
                 0.250 
                 Plastic 
                 1.686 
                 18.4 
                 −6.53 
               
               
                 14 
                   
                 8.922 
                 (ASP) 
                 0.779 
                   
                   
                   
                   
               
               
                 15 
                 Lens 7 
                 −3.347 
                 (ASP) 
                 0.378 
                 Plastic 
                 1.686 
                 18.4 
                 −17.05 
               
               
                 16 
                   
                 −4.904 
                 (ASP) 
                 0.089 
                   
                   
                   
                   
               
               
                 17 
                 Lens 8 
                 −3.944 
                 (ASP) 
                 0.945 
                 Plastic 
                 1.544 
                 55.9 
                 2.26 
               
               
                 18 
                   
                 −1.015 
                 (ASP) 
                 0.035 
                   
                   
                   
                   
               
               
                 19 
                 Lens 9 
                 5.866 
                 (ASP) 
                 0.631 
                 Plastic 
                 1.559 
                 40.4 
                 −2.30 
               
               
                 20 
                   
                 1.012 
                 (ASP) 
                 1.000 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 21 
                 IR-cut filter 
                 Plano 
                 0.210 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 22 
                   
                 Plano 
                 0.236 
                   
                   
                   
                   
               
               
                 23 
                 Image 
                 Plano 
                 0.000 
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
               
                 An effective radius of the stop 301 (Surface 10) is 1.320 mm. 
               
               
                 An effective radius of the image-side surface 382 (Surface 18) is 2.650 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 6 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface # 
                 1 
                 2 
                 3 
                 4 
                 6 
               
               
                   
               
               
                 k = 
                 −3.4160E+01 
                 −1.4628E+01 
                 3.7313E−01 
                 −1.0612E+01 
                 0.0000E+00 
               
               
                 A4 = 
                  2.6519E−02 
                  6.0867E−02 
                 −6.1170E−02  
                 −6.1102E−03 
                 −2.9223E−02  
               
               
                 A6 = 
                  2.3154E−03 
                 −9.5477E−03 
                 5.1251E−02 
                  2.6836E−02 
                 1.9159E−02 
               
               
                 A8 = 
                 −1.4625E−03 
                 −3.3541E−03 
                 −5.2262E−02  
                 −7.7331E−02 
                 −4.7841E−02  
               
               
                 A10 = 
                  1.0598E−03 
                  1.5415E−02 
                 3.1147E−02 
                  1.6378E−01 
                 3.0386E−02 
               
               
                 A12 = 
                 −6.7508E−04 
                 −1.7076E−02 
                 −1.0532E−02  
                 −2.6716E−01 
                 −1.3646E−02  
               
               
                 A14 = 
                  3.1610E−04 
                  1.0941E−02 
                 1.0095E−03 
                  2.8881E−01 
                 3.6976E−03 
               
               
                 A16 = 
                 −8.9981E−05 
                 −4.1804E−03 
                 — 
                 −1.9541E−01 
                 — 
               
               
                 A18 = 
                  1.4028E−05 
                  8.8626E−04 
                 — 
                  7.3997E−02 
                 — 
               
               
                 A20 = 
                 −9.1814E−07 
                 −8.0211E−05 
                 — 
                 −1.1834E−02 
                 — 
               
               
                   
               
               
                 Surface # 
                 7 
                 8 
                 9 
                 11 
                 12 
               
               
                   
               
               
                 k = 
                 0.0000E+00 
                 0.0000E+00 
                 −1.1818E+01 
                 −9.0000E+01 
                 9.8245E+00 
               
               
                 A4 = 
                 3.4385E−03 
                 9.0259E−03 
                 −2.0288E−01 
                 −7.0586E−02 
                 1.9084E−01 
               
               
                 A6 = 
                 3.8596E−02 
                 3.0985E−02 
                  2.4414E−01 
                 −5.9524E−03 
                 −4.9598E−01  
               
               
                 A8 = 
                 −5.0569E−02  
                 −2.3762E−02  
                 −2.5090E−01 
                  4.3053E−02 
                 5.4784E−01 
               
               
                 A10 = 
                 1.3680E−02 
                 −3.0190E−03  
                  1.6797E−01 
                 −5.0571E−02 
                 −3.6484E−01  
               
               
                 A12 = 
                 1.6483E−03 
                 4.5809E−03 
                 −7.4853E−02 
                  1.0860E−02 
                 1.4921E−01 
               
               
                 A14 = 
                 −4.5975E−04  
                 −1.3638E−03  
                  2.0391E−02 
                  5.8534E−03 
                 −3.3493E−02  
               
               
                 A16 = 
                 — 
                 — 
                 −2.7608E−03 
                 −1.9915E−03 
                 3.0961E−03 
               
               
                   
               
               
                 Surface # 
                 13 
                 14 
                 15 
                 16 
                 17 
               
               
                   
               
               
                 k = 
                 1.2586E+01 
                  2.0269E+01 
                 −2.3963E+00 
                  0.0000E+00 
                  4.0995E−01 
               
               
                 A4 = 
                 1.0965E−01 
                 −6.4403E−02 
                 −4.4804E−02 
                 −1.2243E−01 
                 −1.6329E−01 
               
               
                 A6 = 
                 −3.2827E−01  
                  1.1947E−02 
                  3.8559E−03 
                  1.4055E−01 
                  2.2628E−01 
               
               
                 A8 = 
                 3.0192E−01 
                 −2.0424E−02 
                 −1.0834E−02 
                 −1.2476E−01 
                 −1.8494E−01 
               
               
                 A10 = 
                 −1.3369E−01  
                  4.1309E−02 
                  1.3420E−02 
                  6.6755E−02 
                  9.4834E−02 
               
               
                 A12 = 
                 3.2353E−02 
                 −3.9984E−02 
                 −8.0388E−03 
                 −2.1594E−02 
                 −3.0782E−02 
               
               
                 A14 = 
                 −4.1243E−03  
                  2.1341E−02 
                  2.4580E−03 
                  3.9611E−03 
                  6.3320E−03 
               
               
                 A16 = 
                 2.1723E−04 
                 −6.6280E−03 
                 −3.6911E−04 
                 −2.9360E−04 
                 −7.9930E−04 
               
               
                 A18 = 
                 — 
                  1.1349E−03 
                  2.3703E−05 
                 −1.3500E−05 
                  5.6447E−05 
               
               
                 A20 = 
                 — 
                 −8.2300E−05 
                 — 
                  2.4178E−06 
                 −1.7073E−06 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface # 
                 18 
                 19 
                 20 
               
               
                   
                   
               
               
                   
                 k = 
                 −4.0051E+00 
                 −2.2206E+00 
                 −4.9265E+00 
               
               
                   
                 A4 = 
                 −1.1010E−01 
                 −5.5440E−02 
                 −3.0385E−02 
               
               
                   
                 A6 = 
                  7.9588E−02 
                  1.3948E−02 
                  8.4776E−03 
               
               
                   
                 A8 = 
                 −4.3176E−02 
                 −2.6326E−03 
                 −1.7835E−03 
               
               
                   
                 A10 = 
                  1.7737E−02 
                  3.2398E−04 
                  2.6148E−04 
               
               
                   
                 A12 = 
                 −4.8232E−03 
                 −2.2084E−05 
                 −2.6467E−05 
               
               
                   
                 A14 = 
                  8.3969E−04 
                  5.9190E−07 
                  1.7809E−06 
               
               
                   
                 A16 = 
                 −9.0726E−05 
                  1.5165E−08 
                 −7.5384E−08 
               
               
                   
                 A18 = 
                  5.5564E−06 
                 −1.3218E−09 
                  1.8089E−09 
               
               
                   
                 A20 = 
                 −1.4731E−07 
                  2.3156E−11 
                 −1.8678E−11 
               
               
                   
                   
               
            
           
         
       
     
     In the 3rd embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 3rd embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from Table  5  and Table  6  as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 3rd Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 f [mm] 
                 4.51 
                 TL/[ImgH × tan(CRA)] 
                 2.09 
               
               
                   
                 Fno 
                 1.90 
                 (R15 + R16)/(R15 − R16) 
                 1.69 
               
               
                   
                 HFOV [deg.] 
                 48.1 
                 |f/R15| + |f/R16| 
                 5.58 
               
               
                   
                 FOV [deg.] 
                 96.2 
                 |f/R16| + |f/R17| 
                 5.21 
               
               
                   
                 V1/N1 
                 25.95 
                 R18/ImgH 
                 0.19 
               
               
                   
                 V2/N2 
                 25.95 
                 Y92/BL 
                 2.96 
               
               
                   
                 V3/N3 
                 16.57 
                 Yc11/Y11 
                 0.53 
               
               
                   
                 V4/N4 
                 36.23 
                 Yc92/Yc81 
                 1.11 
               
               
                   
                 V5/N5 
                 10.90 
                 MaxET9/ET9 
                 1.68 
               
               
                   
                 V6/N6 
                 10.90 
                 Y_MaxET9/Y92 
                 0.72 
               
               
                   
                 V7/N7 
                 10.90 
                 f/f1 
                 0.01 
               
               
                   
                 V8/N8 
                 36.23 
                 f/f2 
                 0.39 
               
               
                   
                 V9/N9 
                 25.95 
                 f/f3 
                 −0.03 
               
               
                   
                 V20 
                 3 
                 f/f4 
                 0.92 
               
               
                   
                 V26 
                 3 
                 f/f5 
                 0.36 
               
               
                   
                 V40 
                 4 
                 f/f6 
                 −0.69 
               
               
                   
                 Vmin 
                 18.4 
                 f/f7 
                 −0.26 
               
               
                   
                 Td/ΣCT 
                 1.34 
                 f/f8 
                 2.00 
               
               
                   
                 TL/f 
                 1.63 
                 f/f9 
                 −1.96 
               
               
                   
                 TL/ImgH 
                 1.41 
                 — 
                 — 
               
               
                   
                   
               
            
           
         
       
     
     4th Embodiment 
       FIG.  7    is a schematic view of an image capturing unit according to the 4th embodiment of the present disclosure.  FIG.  8    shows, in order from left to right, spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 4th embodiment. In  FIG.  7   , the image capturing unit includes the imaging optical lens assembly (its reference numeral is omitted) of the present disclosure and an image sensor  499 . The imaging optical lens assembly includes, in order from an object side to an image side along an optical path, a first lens element  410 , a second lens element  420 , an aperture stop  400 , a third lens element  430 , a fourth lens element  440 , a stop  401 , a fifth lens element  450 , a sixth lens element  460 , a seventh lens element  470 , an eighth lens element  480 , a ninth lens element  490 , an IR-cut filter  493  and an image surface  496 . The imaging optical lens assembly includes nine lens elements ( 410 ,  420 ,  430 ,  440 ,  450 ,  460 ,  470 ,  480  and  490 ) with no additional lens element disposed between each of the adjacent nine lens elements, wherein there is an air gap between each of all adjacent lens elements. 
     The first lens element  410  with positive refractive power has an object-side surface  411  being concave in a paraxial region thereof and an image-side surface  412  being convex in a paraxial region thereof. The first lens element  410  is made of plastic material and has the object-side surface  411  and the image-side surface  412  being both aspheric. The object-side surface  411  of the first lens element  410  has at least one convex critical point in an off-axis region thereof. The image-side surface  412  of the first lens element  410  has at least one critical point in an off-axis region thereof. 
     The second lens element  420  with positive refractive power has an object-side surface  421  being convex in a paraxial region thereof and an image-side surface  422  being concave in a paraxial region thereof. The second lens element  420  is made of plastic material and has the object-side surface  421  and the image-side surface  422  being both aspheric. 
     The third lens element  430  with negative refractive power has an object-side surface  431  being convex in a paraxial region thereof and an image-side surface  432  being concave in a paraxial region thereof. The third lens element  430  is made of plastic material and has the object-side surface  431  and the image-side surface  432  being both aspheric. 
     The fourth lens element  440  with positive refractive power has an object-side surface  441  being convex in a paraxial region thereof and an image-side surface  442  being convex in a paraxial region thereof. The fourth lens element  440  is made of plastic material and has the object-side surface  441  and the image-side surface  442  being both aspheric. 
     The fifth lens element  450  with positive refractive power has an object-side surface  451  being convex in a paraxial region thereof and an image-side surface  452  being convex in a paraxial region thereof. The fifth lens element  450  is made of plastic material and has the object-side surface  451  and the image-side surface  452  being both aspheric. 
     The sixth lens element  460  with negative refractive power has an object-side surface  461  being concave in a paraxial region thereof and an image-side surface  462  being concave in a paraxial region thereof. The sixth lens element  460  is made of plastic material and has the object-side surface  461  and the image-side surface  462  being both aspheric. 
     The seventh lens element  470  with negative refractive power has an object-side surface  471  being concave in a paraxial region thereof and an image-side surface  472  being convex in a paraxial region thereof. The seventh lens element  470  is made of plastic material and has the object-side surface  471  and the image-side surface  472  being both aspheric. 
     The eighth lens element  480  with positive refractive power has an object-side surface  481  being concave in a paraxial region thereof and an image-side surface  482  being convex in a paraxial region thereof. The eighth lens element  480  is made of plastic material and has the object-side surface  481  and the image-side surface  482  being both aspheric. 
     The ninth lens element  490  with negative refractive power has an object-side surface  491  being convex in a paraxial region thereof and an image-side surface  492  being concave in a paraxial region thereof. The ninth lens element  490  is made of plastic material and has the object-side surface  491  and the image-side surface  492  being both aspheric. The image-side surface  492  of the ninth lens element  490  has at least one convex critical point in an off-axis region thereof. 
     The IR-cut filter  493  is made of glass material and located between the ninth lens element  490  and the image surface  496 , and will not affect the focal length of the imaging optical lens assembly. The image sensor  499  is disposed on or near the image surface  496  of the imaging optical lens assembly. 
     The detailed optical data of the 4th embodiment are shown in Table 7 and the aspheric surface data are shown in Table  8  below. 
     
       
         
           
               
             
               
                 TABLE 7 
               
             
            
               
                   
               
               
                 4th Embodiment 
               
               
                 f = 4.03 mm, Fno = 2.05, HFOV = 53.6 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 1 
                 Lens 1 
                 −2.673 
                 (ASP) 
                 0.456 
                 Plastic 
                 1.562 
                 44.6 
                 66.29 
               
               
                 2 
                   
                 −2.647 
                 (ASP) 
                 0.030 
                   
                   
                   
                   
               
               
                 3 
                 Lens 2 
                 2.170 
                 (ASP) 
                 0.419 
                 Plastic 
                 1.634 
                 23.8 
                 27.55 
               
               
                 4 
                   
                 2.293 
                 (ASP) 
                 0.355 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 5 
                 Ape. Stop 
                 Plano 
                 −0.098 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 6 
                 Lens 3 
                 3.884 
                 (ASP) 
                 0.250 
                 Plastic 
                 1.642 
                 22.5 
                 −60.59 
               
               
                 7 
                   
                 3.442 
                 (ASP) 
                 0.156 
                   
                   
                   
                   
               
               
                 8 
                 Lens 4 
                 10.726 
                 (ASP) 
                 0.863 
                 Plastic 
                 1.544 
                 56.0 
                 3.91 
               
               
                 9 
                   
                 −2.575 
                 (ASP) 
                 −0.365 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 10 
                 Stop 
                 Plano 
                 0.441 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 11 
                 Lens 5 
                 113.394 
                 (ASP) 
                 0.250 
                 Plastic 
                 1.686 
                 18.4 
                 12.75 
               
               
                 12 
                   
                 −9.468 
                 (ASP) 
                 0.050 
                   
                   
                   
                   
               
               
                 13 
                 Lens 6 
                 −9.362 
                 (ASP) 
                 0.254 
                 Plastic 
                 1.686 
                 18.4 
                 −6.37 
               
               
                 14 
                   
                 8.284 
                 (ASP) 
                 0.690 
                   
                   
                   
                   
               
               
                 15 
                 Lens 7 
                 −3.054 
                 (ASP) 
                 0.406 
                 Plastic 
                 1.686 
                 18.4 
                 −9.70 
               
               
                 16 
                   
                 −5.949 
                 (ASP) 
                 0.071 
                   
                   
                   
                   
               
               
                 17 
                 Lens 8 
                 −4.032 
                 (ASP) 
                 0.899 
                 Plastic 
                 1.562 
                 44.6 
                 1.91 
               
               
                 18 
                   
                 −0.916 
                 (ASP) 
                 0.035 
                   
                   
                   
                   
               
               
                 19 
                 Lens 9 
                 3.864 
                 (ASP) 
                 0.550 
                 Plastic 
                 1.562 
                 44.6 
                 −2.21 
               
               
                 20 
                   
                 0.893 
                 (ASP) 
                 1.000 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 21 
                 IR-cut filter 
                 Plano 
                 0.210 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 22 
                   
                 Plano 
                 0.332 
                   
                   
                   
                   
               
               
                 23 
                 Image 
                 Plano 
                 0.000 
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
               
                 An effective radius of the stop 401 (Surface 10) is 1.320 mm. 
               
               
                 An effective radius of the image-side surface 482 (Surface 18) is 2.480 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 8 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface # 
                 1 
                 2 
                 3 
                 4 
                 6 
               
               
                   
               
               
                 k = 
                 −1.5262E+01 
                 −1.7458E+01 
                 5.1420E−01 
                 −1.0082E+01 
                  0.0000E+00 
               
               
                 A4 = 
                  2.4243E−02 
                  5.8421E−02 
                 −5.3272E−02  
                 −4.5324E−02 
                  1.7321E−02 
               
               
                 A6 = 
                  1.0538E−02 
                 −3.0916E−03 
                 4.8269E−02 
                  1.4926E−01 
                 −6.9373E−03 
               
               
                 A8 = 
                 −1.0716E−02 
                  1.4112E−03 
                 −5.6675E−02  
                 −2.3332E−01 
                 −5.5179E−02 
               
               
                 A10 = 
                  5.9375E−03 
                 −4.4704E−03 
                 4.3824E−02 
                  1.7267E−01 
                  4.8164E−02 
               
               
                 A12 = 
                 −2.1478E−03 
                  6.9032E−03 
                 −2.1359E−02  
                  9.9994E−02 
                 −1.4656E−02 
               
               
                 A14 = 
                  5.1004E−04 
                 −4.9043E−03 
                 3.9595E−03 
                 −3.8254E−01 
                 −3.4852E−04 
               
               
                 A16 = 
                 −7.5830E−05 
                  1.8516E−03 
                 — 
                  3.9099E−01 
                 — 
               
               
                 A18 = 
                  6.3753E−06 
                 −3.5885E−04 
                 — 
                 −1.8845E−01 
                 — 
               
               
                 A20 = 
                 −2.2895E−07 
                  2.7772E−05 
                 — 
                  3.6761E−02 
                 — 
               
               
                   
               
               
                 Surface # 
                 7 
                 8 
                 9 
                 11 
                 12 
               
               
                   
               
               
                 k = 
                 0.0000E+00 
                 0.0000E+00 
                 −6.6561E+00 
                 −7.1421E+01 
                 2.0528E+01 
               
               
                 A4 = 
                 5.0473E−02 
                 2.2878E−02 
                 −2.1926E−01 
                 −1.2324E−01 
                 1.6218E−01 
               
               
                 A6 = 
                 −2.4272E−02  
                 4.3132E−03 
                  2.7541E−01 
                  6.8711E−02 
                 −4.0410E−01  
               
               
                 A8 = 
                 −4.9145E−02  
                 −2.7927E−02  
                 −2.8729E−01 
                 −1.3630E−02 
                 4.6529E−01 
               
               
                 A10 = 
                 6.2282E−02 
                 2.8245E−02 
                  1.6977E−01 
                 −4.7110E−02 
                 −3.5028E−01  
               
               
                 A12 = 
                 −3.1563E−02  
                 −1.6589E−02  
                 −4.9548E−02 
                  2.7902E−02 
                 1.6307E−01 
               
               
                 A14 = 
                 6.6054E−03 
                 4.1797E−03 
                  2.1993E−03 
                 −2.8450E−03 
                 −4.0724E−02  
               
               
                 A16 = 
                 — 
                 — 
                  1.2389E−03 
                 −4.8403E−04 
                 4.1132E−03 
               
               
                   
               
               
                 Surface # 
                 13 
                 14 
                 15 
                 16 
                 17 
               
               
                   
               
               
                 k = 
                  1.7211E+01 
                  1.4837E+01 
                 −4.4531E+00 
                  0.0000E+00 
                 5.1256E−01 
               
               
                 A4 = 
                  6.9430E−02 
                 −8.6871E−02 
                 −6.5647E−02 
                 −1.1504E−01 
                 −1.3219E−01  
               
               
                 A6 = 
                 −2.1731E−01 
                  5.6103E−02 
                  4.3001E−02 
                  1.1606E−01 
                 1.5701E−01 
               
               
                 A8 = 
                  1.5993E−01 
                 −8.1108E−02 
                 −5.6675E−02 
                 −8.9074E−02 
                 −1.1289E−01  
               
               
                 A10 = 
                 −3.9391E−02 
                  9.2758E−02 
                  6.0038E−02 
                  3.7175E−02 
                 4.8131E−02 
               
               
                 A12 = 
                 −1.5876E−03 
                 −6.5580E−02 
                 −3.8058E−02 
                 −6.4008E−03 
                 −1.0864E−02  
               
               
                 A14 = 
                  2.2198E−03 
                  2.8994E−02 
                  1.3593E−02 
                 −9.6408E−04 
                 9.2773E−04 
               
               
                 A16 = 
                 −2.6906E−04 
                 −8.0707E−03 
                 −2.5779E−03 
                  6.8881E−04 
                 7.9797E−05 
               
               
                 A18 = 
                 — 
                  1.3168E−03 
                  2.0471E−04 
                 −1.2376E−04 
                 −2.0894E−05  
               
               
                 A20 = 
                 — 
                 −9.5139E−05 
                 — 
                  7.7417E−06 
                 1.1029E−06 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface # 
                 18 
                 19 
                 20 
               
               
                   
                   
               
               
                   
                 k = 
                 −4.1044E+00 
                 −1.7019E+00 
                 −5.0080E+00 
               
               
                   
                 A4 = 
                 −1.4033E−01 
                 −5.9629E−02 
                 −2.6691E−02 
               
               
                   
                 A6 = 
                  1.1233E−01 
                  1.8296E−02 
                  7.3713E−03 
               
               
                   
                 A8 = 
                 −7.4399E−02 
                 −4.3993E−03 
                 −1.5758E−03 
               
               
                   
                 A10 = 
                  3.7382E−02 
                  7.0528E−04 
                  2.3178E−04 
               
               
                   
                 A12 = 
                 −1.1736E−02 
                 −7.1891E−05 
                 −2.3467E−05 
               
               
                   
                 A14 = 
                  2.2347E−03 
                  4.6383E−06 
                  1.5823E−06 
               
               
                   
                 A16 = 
                 −2.5294E−04 
                 −1.8434E−07 
                 −6.7036E−08 
               
               
                   
                 A18 = 
                  1.5693E−05 
                  4.1331E−09 
                  1.6039E−09 
               
               
                   
                 A20 = 
                 −4.1074E−07 
                 −4.0118E−11 
                 −1.6461E−11 
               
               
                   
                   
               
            
           
         
       
     
     In the 4th embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 4th embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from Table 7 and Table 8 as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 4th Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 f [mm] 
                 4.03 
                 TL/ImgH 
                 1.37 
               
               
                   
                 Fno 
                 2.05 
                 TL/[ImgH × tan(CRA)] 
                 2.53 
               
               
                   
                 HFOV [deg.] 
                 53.6 
                 (R15 + R16)/(R15 − R16) 
                 1.59 
               
               
                   
                 FOV [deg.] 
                 107.2 
                 |f/R15| + |f/R16| 
                 5.41 
               
               
                   
                 V1/N1 
                 28.57 
                 |f/R16| + |f/R17| 
                 5.45 
               
               
                   
                 V2/N2 
                 14.59 
                 R18/ImgH 
                 0.17 
               
               
                   
                 V3/N3 
                 13.70 
                 Y92/BL 
                 2.94 
               
               
                   
                 V4/N4 
                 36.26 
                 Yc11/Y11 
                 0.58 
               
               
                   
                 V5/N5 
                 10.90 
                 MaxET9/ET9 
                 2.64 
               
               
                   
                 V6/N6 
                 10.90 
                 Y_MaxET9/Y92 
                 0.66 
               
               
                   
                 V7/N7 
                 10.90 
                 f/f1 
                 0.06 
               
               
                   
                 V8/N8 
                 28.57 
                 f/f2 
                 0.15 
               
               
                   
                 V9/N9 
                 28.57 
                 f/f3 
                 −0.07 
               
               
                   
                 V20 
                 3 
                 f/f4 
                 1.03 
               
               
                   
                 V26 
                 5 
                 f/f5 
                 0.32 
               
               
                   
                 V40 
                 5 
                 f/f6 
                 −0.63 
               
               
                   
                 Vmin 
                 18.4 
                 f/f7 
                 −0.42 
               
               
                   
                 Td/ΣCT 
                 1.31 
                 f/f8 
                 2.11 
               
               
                   
                 TL/f 
                 1.80 
                 f/f9 
                 −1.82 
               
               
                   
                   
               
            
           
         
       
     
     5th Embodiment 
       FIG.  9    is a schematic view of an image capturing unit according to the 5th embodiment of the present disclosure.  FIG.  10    shows, in order from left to right, spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 5th embodiment. In  FIG.  9   , the image capturing unit includes the imaging optical lens assembly (its reference numeral is omitted) of the present disclosure and an image sensor  599 . The imaging optical lens assembly includes, in order from an object side to an image side along an optical path, a first lens element  510 , a second lens element  520 , an aperture stop  500 , a third lens element  530 , a fourth lens element  540 , a stop  501 , a fifth lens element  550 , a sixth lens element  560 , a seventh lens element  570 , an eighth lens element  580 , a ninth lens element  590 , an IR-cut filter  593  and an image surface  596 . The imaging optical lens assembly includes nine lens elements ( 510 ,  520 ,  530 ,  540 ,  550 ,  560 ,  570 ,  580  and  590 ) with no additional lens element disposed between each of the adjacent nine lens elements, wherein there is an air gap between each of all adjacent lens elements. 
     The first lens element  510  with negative refractive power has an object-side surface  511  being concave in a paraxial region thereof and an image-side surface  512  being concave in a paraxial region thereof. The first lens element  510  is made of plastic material and has the object-side surface  511  and the image-side surface  512  being both aspheric. The object-side surface  511  of the first lens element  510  has at least one convex critical point in an off-axis region thereof. 
     The second lens element  520  with positive refractive power has an object-side surface  521  being convex in a paraxial region thereof and an image-side surface  522  being concave in a paraxial region thereof. The second lens element  520  is made of plastic material and has the object-side surface  521  and the image-side surface  522  being both aspheric. 
     The third lens element  530  with negative refractive power has an object-side surface  531  being convex in a paraxial region thereof and an image-side surface  532  being concave in a paraxial region thereof. The third lens element  530  is made of plastic material and has the object-side surface  531  and the image-side surface  532  being both aspheric. 
     The fourth lens element  540  with positive refractive power has an object-side surface  541  being convex in a paraxial region thereof and an image-side surface  542  being convex in a paraxial region thereof. The fourth lens element  540  is made of plastic material and has the object-side surface  541  and the image-side surface  542  being both aspheric. 
     The fifth lens element  550  with positive refractive power has an object-side surface  551  being concave in a paraxial region thereof and an image-side surface  552  being convex in a paraxial region thereof. The fifth lens element  550  is made of plastic material and has the object-side surface  551  and the image-side surface  552  being both aspheric. 
     The sixth lens element  560  with negative refractive power has an object-side surface  561  being concave in a paraxial region thereof and an image-side surface  562  being concave in a paraxial region thereof. The sixth lens element  560  is made of plastic material and has the object-side surface  561  and the image-side surface  562  being both aspheric. 
     The seventh lens element  570  with negative refractive power has an object-side surface  571  being concave in a paraxial region thereof and an image-side surface  572  being convex in a paraxial region thereof. The seventh lens element  570  is made of plastic material and has the object-side surface  571  and the image-side surface  572  being both aspheric. 
     The eighth lens element  580  with positive refractive power has an object-side surface  581  being concave in a paraxial region thereof and an image-side surface  582  being convex in a paraxial region thereof. The eighth lens element  580  is made of plastic material and has the object-side surface  581  and the image-side surface  582  being both aspheric. The object-side surface  581  of the eighth lens element  580  has at least one critical point in an off-axis region thereof. The image-side surface  582  of the eighth lens element  580  has at least one critical point in an off-axis region thereof. 
     The ninth lens element  590  with negative refractive power has an object-side surface  591  being convex in a paraxial region thereof and an image-side surface  592  being concave in a paraxial region thereof. The ninth lens element  590  is made of plastic material and has the object-side surface  591  and the image-side surface  592  being both aspheric. The image-side surface  592  of the ninth lens element  590  has at least one convex critical point in an off-axis region thereof. 
     The IR-cut filter  593  is made of glass material and located between the ninth lens element  590  and the image surface  596 , and will not affect the focal length of the imaging optical lens assembly. The image sensor  599  is disposed on or near the image surface  596  of the imaging optical lens assembly. 
     The detailed optical data of the 5th embodiment are shown in Table 9 and the aspheric surface data are shown in Table 10 below. 
     
       
         
           
               
             
               
                 TABLE 9 
               
             
            
               
                   
               
               
                 5th Embodiment 
               
               
                 f = 4.53 mm, Fno = 1.98, HFOV = 48.8 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 1 
                 Lens 1 
                 −50.872 
                 (ASP) 
                 0.382 
                 Plastic 
                 1.639 
                 23.5 
                 −52.75 
               
               
                 2 
                   
                 100.000 
                 (ASP) 
                 0.030 
                   
                   
                   
                   
               
               
                 3 
                 Lens 2 
                 1.685 
                 (ASP) 
                 0.611 
                 Plastic 
                 1.562 
                 44.6 
                 8.70 
               
               
                 4 
                   
                 2.237 
                 (ASP) 
                 0.247 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 5 
                 Ape. Stop 
                 Plano 
                 0.088 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 6 
                 Lens 3 
                 13.336 
                 (ASP) 
                 0.253 
                 Plastic 
                 1.634 
                 23.8 
                 −44.07 
               
               
                 7 
                   
                 8.961 
                 (ASP) 
                 0.050 
                   
                   
                   
                   
               
               
                 8 
                 Lens 4 
                 75.522 
                 (ASP) 
                 0.748 
                 Plastic 
                 1.544 
                 56.0 
                 4.16 
               
               
                 9 
                   
                 −2.326 
                 (ASP) 
                 −0.391 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 10 
                 Stop 
                 Plano 
                 0.421 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 11 
                 Lens 5 
                 −18.456 
                 (ASP) 
                 0.250 
                 Plastic 
                 1.614 
                 26.0 
                 18.04 
               
               
                 12 
                   
                 −6.957 
                 (ASP) 
                 0.050 
                   
                   
                   
                   
               
               
                 13 
                 Lens 6 
                 −12.343 
                 (ASP) 
                 0.250 
                 Plastic 
                 1.650 
                 21.4 
                 −6.90 
               
               
                 14 
                   
                 7.094 
                 (ASP) 
                 0.768 
                   
                   
                   
                   
               
               
                 15 
                 Lens 7 
                 −4.522 
                 (ASP) 
                 0.355 
                 Plastic 
                 1.705 
                 14.0 
                 −23.00 
               
               
                 16 
                   
                 −6.475 
                 (ASP) 
                 0.107 
                   
                   
                   
                   
               
               
                 17 
                 Lens 8 
                 −3.863 
                 (ASP) 
                 0.897 
                 Plastic 
                 1.583 
                 30.2 
                 2.05 
               
               
                 18 
                   
                 −0.989 
                 (ASP) 
                 0.035 
                   
                   
                   
                   
               
               
                 19 
                 Lens 9 
                 9.406 
                 (ASP) 
                 0.596 
                 Plastic 
                 1.639 
                 23.5 
                 −1.97 
               
               
                 20 
                   
                 1.082 
                 (ASP) 
                 0.900 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 21 
                 IR-cut filter 
                 Plano 
                 0.210 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 22 
                   
                 Plano 
                 0.218 
                   
                   
                   
                   
               
               
                 23 
                 Image 
                 Plano 
                 0.000 
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
               
                 An effective radius of the stop 501 (Surface 10) is 1.320 mm. 
               
               
                 An effective radius of the image-side surface 562 (Surface 14) is 1.740 mm. 
               
               
                 An effective radius of the image-side surface 582 (Surface 18) is 2.640 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 10 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface # 
                 1 
                 2 
                 3 
                 4 
                 6 
               
               
                   
               
               
                 k = 
                 −1.6081E+01 
                 7.1812E+01 
                 5.4176E−02 
                 −4.7127E+00 
                 0.0000E+00 
               
               
                 A4 = 
                  6.7229E−02 
                 6.5590E−02 
                 −3.4110E−02  
                  1.7508E−02 
                 −5.6096E−02  
               
               
                 A6 = 
                 −3.6317E−02 
                 −4.2448E−02  
                 1.7153E−03 
                 −2.2438E−02 
                 4.0280E−03 
               
               
                 A8 = 
                  2.9144E−02 
                 7.0982E−02 
                 2.3154E−02 
                  1.0308E−01 
                 −5.1750E−02  
               
               
                 A10 = 
                 −1.7108E−02 
                 −7.9787E−02  
                 −3.1714E−02  
                 −2.4983E−01 
                 7.9068E−02 
               
               
                 A12 = 
                  7.0669E−03 
                 6.1373E−02 
                 1.8730E−02 
                  3.3401E−01 
                 −6.6430E−02  
               
               
                 A14 = 
                 −1.8897E−03 
                 −3.0954E−02  
                 −4.6745E−03  
                 −2.4471E−01 
                 2.1555E−02 
               
               
                 A16 = 
                  3.0099E−04 
                 9.8612E−03 
                 — 
                  7.5031E−02 
                 — 
               
               
                 A18 = 
                 −2.3700E−05 
                 −1.7973E−03  
                 — 
                  4.3152E−03 
                 — 
               
               
                 A20 = 
                  4.6918E−07 
                 1.4093E−04 
                 — 
                 −5.6702E−03 
                 — 
               
               
                   
               
               
                 Surface # 
                 7 
                 8 
                 9 
                 11 
                 12 
               
               
                   
               
               
                 k = 
                 0.0000E+00 
                 0.0000E+00 
                 −1.2545E+01 
                  9.0000E+01 
                 1.4745E+01 
               
               
                 A4 = 
                 −3.2926E−02  
                 2.5237E−03 
                 −1.8397E−01 
                 −4.1472E−02 
                 1.8443E−01 
               
               
                 A6 = 
                 1.2324E−02 
                 1.3082E−02 
                  1.8672E−01 
                 −9.0251E−02 
                 −5.4575E−01  
               
               
                 A8 = 
                 −2.7326E−02  
                 1.1087E−02 
                 −1.3617E−01 
                  1.8520E−01 
                 6.5479E−01 
               
               
                 A10 = 
                 2.4650E−02 
                 −4.3027E−02  
                  3.1375E−02 
                 −2.2474E−01 
                 −4.8097E−01  
               
               
                 A12 = 
                 −2.5433E−02  
                 2.7118E−02 
                  2.1095E−02 
                  1.2399E−01 
                 2.1222E−01 
               
               
                 A14 = 
                 1.2896E−02 
                 −4.6812E−03  
                 −1.6190E−02 
                 −3.2442E−02 
                 −5.0067E−02  
               
               
                 A16 = 
                 — 
                 — 
                  2.9674E−03 
                  3.4895E−03 
                 4.8492E−03 
               
               
                   
               
               
                 Surface # 
                 13 
                 14 
                 15 
                 16 
                 17 
               
               
                   
               
               
                 k = 
                 1.7147E+01 
                  1.2576E+01 
                 −8.7933E−01 
                  0.0000E+00 
                  2.2456E−01 
               
               
                 A4 = 
                 9.7863E−02 
                 −7.1038E−02 
                 −1.7567E−02 
                 −6.7046E−02 
                 −1.3590E−01 
               
               
                 A6 = 
                 −3.3152E−01  
                  2.2294E−02 
                 −4.0173E−02 
                  4.4770E−02 
                  1.5013E−01 
               
               
                 A8 = 
                 3.4346E−01 
                 −2.5780E−02 
                  3.4255E−02 
                 −3.7956E−02 
                 −9.9902E−02 
               
               
                 A10 = 
                 −1.7705E−01  
                  3.6970E−02 
                 −1.9719E−02 
                  2.1727E−02 
                  4.2830E−02 
               
               
                 A12 = 
                 5.1249E−02 
                 −2.9764E−02 
                  6.9045E−03 
                 −8.9811E−03 
                 −1.1893E−02 
               
               
                 A14 = 
                 −7.9890E−03  
                  1.3262E−02 
                 −1.0062E−03 
                  2.6769E−03 
                  2.1807E−03 
               
               
                 A16 = 
                 5.2623E−04 
                 −3.3272E−03 
                 −9.5990E−05 
                 −5.0427E−04 
                 −2.5843E−04 
               
               
                 A18 = 
                 — 
                  4.3836E−04 
                  3.3708E−05 
                  5.2068E−05 
                  1.8012E−05 
               
               
                 A20 = 
                 — 
                 −2.2728E−05 
                 — 
                 −2.2452E−06 
                 −5.5997E−07 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface # 
                 18 
                 19 
                 20 
               
               
                   
                   
               
               
                   
                 k = 
                 −4.0153E+00 
                 −9.5370E−02 
                 −5.8862E+00 
               
               
                   
                 A4 = 
                 −1.0399E−01 
                 −3.1252E−02 
                 −2.6126E−02 
               
               
                   
                 A6 = 
                  6.6124E−02 
                  1.0296E−03 
                  6.0695E−03 
               
               
                   
                 A8 = 
                 −2.9882E−02 
                  4.5799E−04 
                 −1.2643E−03 
               
               
                   
                 A10 = 
                  9.4716E−03 
                 −7.8978E−05 
                  1.9832E−04 
               
               
                   
                 A12 = 
                 −1.7485E−03 
                  8.6236E−06 
                 −2.2672E−05 
               
               
                   
                 A14 = 
                  1.6656E−04 
                 −7.7866E−07 
                  1.7537E−06 
               
               
                   
                 A16 = 
                 −5.4852E−06 
                  4.8963E−08 
                 −8.5304E−08 
               
               
                   
                 A18 = 
                 −2.2391E−07 
                 −1.7250E−09 
                  2.3360E−09 
               
               
                   
                 A20 = 
                  1.5019E−08 
                  2.5168E−11 
                 −2.7202E−11 
               
               
                   
                   
               
            
           
         
       
     
     In the 5th embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 5th embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from Table 9 and Table 10 as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 5th Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 f [mm] 
                 4.53 
                 TL/[ImgH × tan(CRA)] 
                 2.02 
               
               
                   
                 Fno 
                 1.98 
                 (R15 + R16)/(R15 − R16) 
                 1.69 
               
               
                   
                 HFOV [deg.] 
                 48.8 
                 |f/R15| + |f/R16| 
                 5.76 
               
               
                   
                 FOV [deg.] 
                 97.6 
                 |f/R16| + |f/R17| 
                 5.07 
               
               
                   
                 V1/N1 
                 14.34 
                 R18/ImgH 
                 0.20 
               
               
                   
                 V2/N2 
                 28.57 
                 Y92/BL 
                 3.09 
               
               
                   
                 V3/N3 
                 14.59 
                 Yc11/Y11 
                 0.15 
               
               
                   
                 V4/N4 
                 36.26 
                 Yc92/Yc81 
                 1.01 
               
               
                   
                 V5/N5 
                 16.09 
                 MaxET9/ET9 
                 2.23 
               
               
                   
                 V6/N6 
                 12.96 
                 Y_MaxET9/Y92 
                 0.70 
               
               
                   
                 V7/N7 
                 8.21 
                 f/f1 
                 −0.09 
               
               
                   
                 V8/N8 
                 19.11 
                 f/f2 
                 0.52 
               
               
                   
                 V9/N9 
                 14.34 
                 f/f3 
                 −0.10 
               
               
                   
                 V20 
                 1 
                 f/f4 
                 1.09 
               
               
                   
                 V26 
                 5 
                 f/f5 
                 0.25 
               
               
                   
                 V40 
                 6 
                 f/f6 
                 −0.66 
               
               
                   
                 Vmin 
                 14.0 
                 f/f7 
                 −0.20 
               
               
                   
                 Td/ΣCT 
                 1.32 
                 f/f8 
                 2.21 
               
               
                   
                 TL/f 
                 1.56 
                 f/f9 
                 −2.30 
               
               
                   
                 TL/ImgH 
                 1.33 
                 — 
                 — 
               
               
                   
                   
               
            
           
         
       
     
     6th Embodiment 
       FIG.  11    is a schematic view of an image capturing unit according to the 6th embodiment of the present disclosure.  FIG.  12    shows, in order from left to right, spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 6th embodiment. In  FIG.  11   , the image capturing unit includes the imaging optical lens assembly (its reference numeral is omitted) of the present disclosure and an image sensor  699 . The imaging optical lens assembly includes, in order from an object side to an image side along an optical path, a first lens element  610 , a second lens element  620 , an aperture stop  600 , a third lens element  630 , a fourth lens element  640 , a fifth lens element  650 , a sixth lens element  660 , a seventh lens element  670 , an eighth lens element  680 , a ninth lens element  690 , an IR-cut filter  693  and an image surface  696 . The imaging optical lens assembly includes nine lens elements ( 610 ,  620 ,  630 ,  640 ,  650 ,  660 ,  670 ,  680  and  690 ) with no additional lens element disposed between each of the adjacent nine lens elements, wherein there is an air gap between each of all adjacent lens elements. 
     The first lens element  610  with negative refractive power has an object-side surface  611  being convex in a paraxial region thereof and an image-side surface  612  being concave in a paraxial region thereof. The first lens element  610  is made of plastic material and has the object-side surface  611  and the image-side surface  612  being both aspheric. 
     The second lens element  620  with positive refractive power has an object-side surface  621  being convex in a paraxial region thereof and an image-side surface  622  being concave in a paraxial region thereof. The second lens element  620  is made of plastic material and has the object-side surface  621  and the image-side surface  622  being both aspheric. 
     The third lens element  630  with negative refractive power has an object-side surface  631  being convex in a paraxial region thereof and an image-side surface  632  being concave in a paraxial region thereof. The third lens element  630  is made of plastic material and has the object-side surface  631  and the image-side surface  632  being both aspheric. 
     The fourth lens element  640  with positive refractive power has an object-side surface  641  being convex in a paraxial region thereof and an image-side surface  642  being convex in a paraxial region thereof. The fourth lens element  640  is made of plastic material and has the object-side surface  641  and the image-side surface  642  being both aspheric. 
     The fifth lens element  650  with positive refractive power has an object-side surface  651  being concave in a paraxial region thereof and an image-side surface  652  being convex in a paraxial region thereof. The fifth lens element  650  is made of plastic material and has the object-side surface  651  and the image-side surface  652  being both aspheric. 
     The sixth lens element  660  with negative refractive power has an object-side surface  661  being concave in a paraxial region thereof and an image-side surface  662  being concave in a paraxial region thereof. The sixth lens element  660  is made of plastic material and has the object-side surface  661  and the image-side surface  662  being both aspheric. 
     The seventh lens element  670  with positive refractive power has an object-side surface  671  being concave in a paraxial region thereof and an image-side surface  672  being convex in a paraxial region thereof. The seventh lens element  670  is made of plastic material and has the object-side surface  671  and the image-side surface  672  being both aspheric. 
     The eighth lens element  680  with positive refractive power has an object-side surface  681  being concave in a paraxial region thereof and an image-side surface  682  being convex in a paraxial region thereof. The eighth lens element  680  is made of plastic material and has the object-side surface  681  and the image-side surface  682  being both aspheric. The object-side surface  681  of the eighth lens element  680  has at least one critical point in an off-axis region thereof. The image-side surface  682  of the eighth lens element  680  has at least one critical point in an off-axis region thereof. 
     The ninth lens element  690  with negative refractive power has an object-side surface  691  being convex in a paraxial region thereof and an image-side surface  692  being concave in a paraxial region thereof. The ninth lens element  690  is made of plastic material and has the object-side surface  691  and the image-side surface  692  being both aspheric. The image-side surface  692  of the ninth lens element  690  has at least one convex critical point in an off-axis region thereof. 
     The IR-cut filter  693  is made of glass material and located between the ninth lens element  690  and the image surface  696 , and will not affect the focal length of the imaging optical lens assembly. The image sensor  699  is disposed on or near the image surface  696  of the imaging optical lens assembly. 
     The detailed optical data of the 6th embodiment are shown in Table 11 and the aspheric surface data are shown in Table 12 below. 
     
       
         
           
               
             
               
                 TABLE 11 
               
             
            
               
                   
               
               
                 6th Embodiment 
               
               
                 f = 4.22 mm, Fno = 2.01, HFOV = 50.4 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 1 
                 Lens 1 
                 89.182 
                 (ASP) 
                 0.398 
                 Plastic 
                 1.614 
                 26.0 
                 −37.92 
               
               
                 2 
                   
                 18.424 
                 (ASP) 
                 0.030 
                   
                   
                   
                   
               
               
                 3 
                 Lens 2 
                 1.758 
                 (ASP) 
                 0.595 
                 Plastic 
                 1.580 
                 36.0 
                 9.22 
               
               
                 4 
                   
                 2.294 
                 (ASP) 
                 0.230 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 5 
                 Ape. Stop 
                 Plano 
                 0.048 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 6 
                 Lens 3 
                 6.608 
                 (ASP) 
                 0.266 
                 Plastic 
                 1.639 
                 23.5 
                 −96.97 
               
               
                 7 
                   
                 5.877 
                 (ASP) 
                 0.050 
                   
                   
                   
                   
               
               
                 8 
                 Lens 4 
                 2525.715 
                 (ASP) 
                 0.774 
                 Plastic 
                 1.544 
                 56.0 
                 3.82 
               
               
                 9 
                   
                 −2.078 
                 (ASP) 
                 0.030 
                   
                   
                   
                   
               
               
                 10 
                 Lens 5 
                 −13.005 
                 (ASP) 
                 0.285 
                 Plastic 
                 1.639 
                 23.5 
                 20.99 
               
               
                 11 
                   
                 −6.657 
                 (ASP) 
                 0.050 
                   
                   
                   
                   
               
               
                 12 
                 Lens 6 
                 −9.075 
                 (ASP) 
                 0.250 
                 Plastic 
                 1.686 
                 18.4 
                 −5.76 
               
               
                 13 
                   
                 7.083 
                 (ASP) 
                 0.716 
                   
                   
                   
                   
               
               
                 14 
                 Lens 7 
                 −3.463 
                 (ASP) 
                 0.355 
                 Plastic 
                 1.705 
                 14.0 
                 143.88 
               
               
                 15 
                   
                 −3.491 
                 (ASP) 
                 0.064 
                   
                   
                   
                   
               
               
                 16 
                 Lens 8 
                 −3.340 
                 (ASP) 
                 0.898 
                 Plastic 
                 1.580 
                 36.0 
                 1.97 
               
               
                 17 
                   
                 −0.935 
                 (ASP) 
                 0.035 
                   
                   
                   
                   
               
               
                 18 
                 Lens 9 
                 5.051 
                 (ASP) 
                 0.550 
                 Plastic 
                 1.650 
                 21.4 
                 −1.91 
               
               
                 19 
                   
                 0.953 
                 (ASP) 
                 0.900 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 20 
                 IR-cut filter 
                 Plano 
                 0.210 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 21 
                   
                 Plano 
                 0.300 
                   
                   
                   
                   
               
               
                 22 
                 Image 
                 Plano 
                 0.000 
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
               
                 An effective radius of the image-side surface 662 (Surface 13) is 1.740 mm. 
               
               
                 An effective radius of the image-side surface 682 (Surface 17) is 2.640 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 12 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface # 
                 1 
                 2 
                 3 
                 4 
                 6 
               
               
                   
               
               
                 k= 
                  9.0000E+01 
                 6.6782E+01 
                  1.4078E−01 
                 −4.1517E+00 
                  0.0000E+00 
               
               
                 A4= 
                  5.6584E−02 
                 5.5201E−02 
                 −2.9145E−02 
                  1.5285E−02 
                 −5.5249E−02 
               
               
                 A6= 
                 −2.5495E−02 
                 −2.4475E−02  
                  1.2346E−02 
                  6.3313E−03 
                 −1.8440E−02 
               
               
                 A8= 
                  1.8053E−02 
                 3.7409E−02 
                 −1.7849E−03 
                 −3.7591E−02 
                 −2.4781E−02 
               
               
                 A10= 
                 −9.1285E−03 
                 −3.9424E−02  
                 −4.0358E−03 
                  2.0220E−01 
                  3.1896E−02 
               
               
                 A12= 
                  3.0526E−03 
                 2.8975E−02 
                  4.7313E−03 
                 −5.5571E−01 
                 −2.1131E−02 
               
               
                 A14= 
                 −5.2061E−04 
                 −1.3636E−02  
                 −2.1768E−03 
                  8.8770E−01 
                  1.7255E−03 
               
               
                 A16= 
                 −5.0181E−06 
                 3.7971E−03 
                 — 
                 −8.3480E−01 
                 — 
               
               
                 A18= 
                  1.6244E−05 
                 −5.6394E−04  
                 — 
                  4.2217E−01 
                 — 
               
               
                 A20= 
                 −1.7630E−06 
                 3.3130E−05 
                 — 
                 −8.8922E−02 
                 — 
               
               
                   
               
               
                 Surface # 
                 7 
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 k= 
                  0.0000E+00 
                 0.0000E+00 
                 −7.4450E+00 
                  8.0358E+01 
                 1.8848E+01 
               
               
                 A4= 
                 −2.5084E−02 
                 5.3439E−03 
                 −1.9455E−01 
                 −6.6900E−02 
                 2.1148E−01 
               
               
                 A6= 
                 −1.0181E−02 
                 1.9341E−02 
                  2.0724E−01 
                 −4.8597E−02 
                 −5.8975E−01  
               
               
                 A8= 
                 −1.6287E−02 
                 −1.4584E−02  
                 −1.5153E−01 
                  1.6263E−01 
                 6.8793E−01 
               
               
                 A10= 
                  1.6723E−02 
                 −9.9546E−03  
                 −4.7070E−03 
                 −2.5622E−01 
                 −5.3123E−01  
               
               
                 A12= 
                 −6.8401E−03 
                 2.1225E−02 
                  8.3255E−02 
                  1.6861E−01 
                 2.6047E−01 
               
               
                 A14= 
                  2.2199E−03 
                 −6.6916E−03  
                 −5.2530E−02 
                 −5.9097E−02 
                 −7.3430E−02  
               
               
                 A16= 
                 — 
                 — 
                  1.1685E−02 
                  1.0278E−02 
                 9.3016E−03 
               
               
                   
               
               
                 Surface # 
                 12 
                 13 
                 14 
                 15 
                 16 
               
               
                   
               
               
                 k= 
                  2.2122E+01 
                  7.7763E+00 
                 −4.5605E+00 
                  0.0000E+00 
                  4.2734E−02 
               
               
                 A4= 
                  1.0734E−01 
                 −8.4218E−02 
                 −2.0209E−02 
                 −9.6622E−02 
                 −1.9661E−01 
               
               
                 A6= 
                 −3.0807E−01 
                  6.3528E−02 
                 −1.1136E−02 
                  1.5271E−01 
                  2.7462E−01 
               
               
                 A8= 
                  2.3886E−01 
                 −8.9465E−02 
                 −3.6944E−02 
                 −1.6491E−01 
                 −2.0765E−01 
               
               
                 A10= 
                 −6.3290E−02 
                  1.0338E−01 
                  6.6978E−02 
                  1.0915E−01 
                  9.5309E−02 
               
               
                 A12= 
                 −7.5741E−03 
                 −7.2500E−02 
                 −4.9801E−02 
                 −4.7991E−02 
                 −2.7434E−02 
               
               
                 A14= 
                  6.9453E−03 
                  3.0086E−02 
                  1.9802E−02 
                  1.4052E−02 
                  5.0471E−03 
               
               
                 A16= 
                 −9.6009E−04 
                 −7.2687E−03 
                 −4.1385E−03 
                 −2.5659E−03 
                 −5.8104E−04 
               
               
                 A18= 
                 — 
                  9.2779E−04 
                  3.5576E−04 
                  2.6007E−04 
                  3.8329E−05 
               
               
                 A20= 
                 — 
                 −4.6078E−05 
                 — 
                 −1.1084E−05 
                 −1.1093E−06 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface # 
                 17 
                 18 
                 19 
               
               
                   
                   
               
               
                   
                 k= 
                 −3.9243E+00 
                 −3.0461E+00 
                 −5.0284E+00 
               
               
                   
                 A4= 
                 −1.2230E−01 
                 −5.1565E−02 
                 −3.0297E−02 
               
               
                   
                 A6= 
                  7.6690E−02 
                  1.2355E−02 
                  7.8204E−03 
               
               
                   
                 A8= 
                 −3.3880E−02 
                 −2.5642E−03 
                 −1.5936E−03 
               
               
                   
                 A10= 
                  1.1413E−02 
                  4.0015E−04 
                  2.2957E−04 
               
               
                   
                 A12= 
                 −2.4992E−03 
                 −4.0966E−05 
                 −2.3216E−05 
               
               
                   
                 A14= 
                  3.3641E−04 
                  2.6566E−06 
                  1.5689E−06 
               
               
                   
                 A16= 
                 −2.6785E−05 
                 −1.0556E−07 
                 −6.6275E−08 
               
               
                   
                 A18= 
                  1.1543E−06 
                  2.3536E−09 
                  1.5706E−09 
               
               
                   
                 A20= 
                 −2.0835E−08 
                 −2.2608E−11 
                 −1.5869E−11 
               
               
                   
                   
               
            
           
         
       
     
     In the 6th embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 6th embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from Table 11 and Table 12 as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 6th Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 f [mm] 
                 4.22 
                 TL/ImgH 
                 1.33 
               
               
                   
                 Fno 
                 2.01 
                 TL/[ImgH × tan(CRA)] 
                 2.66 
               
               
                   
                 HFOV [deg.] 
                 50.4 
                 (R15 + R16)/(R15 − R16) 
                 1.78 
               
               
                   
                 FOV [deg.] 
                 100.8 
                 |f/R15| + |f/R16| 
                 5.78 
               
               
                   
                 V1/N1 
                 16.09 
                 |f/R16| + |f/R17| 
                 5.36 
               
               
                   
                 V2/N2 
                 22.78 
                 R18/ImgH 
                 0.18 
               
               
                   
                 V3/N3 
                 14.34 
                 Y92/BL 
                 3.11 
               
               
                   
                 V4/N4 
                 36.26 
                 Yc92/Yc81 
                 1.10 
               
               
                   
                 V5/N5 
                 14.34 
                 MaxET9/ET9 
                 2.69 
               
               
                   
                 V6/N6 
                 10.90 
                 Y_MaxET9/Y92 
                 0.67 
               
               
                   
                 V7/N7 
                 8.21 
                 f/f1 
                 −0.11 
               
               
                   
                 V8/N8 
                 22.78 
                 f/f2 
                 0.46 
               
               
                   
                 V9/N9 
                 12.96 
                 f/f3 
                 −0.04 
               
               
                   
                 V20 
                 2 
                 f/f4 
                 1.11 
               
               
                   
                 V26 
                 5 
                 f/f5 
                 0.20 
               
               
                   
                 V40 
                 7 
                 f/f6 
                 −0.73 
               
               
                   
                 Vmin 
                 14.0 
                 f/f7 
                 0.03 
               
               
                   
                 Td/ΣCT 
                 1.29 
                 f/f8 
                 2.14 
               
               
                   
                 TL/f 
                 1.67 
                 f/f9 
                 −2.21 
               
               
                   
                   
               
            
           
         
       
     
     7th Embodiment 
       FIG.  13    is a schematic view of an image capturing unit according to the 7th embodiment of the present disclosure.  FIG.  14    shows, in order from left to right, spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 7th embodiment. In  FIG.  13   , the image capturing unit includes the imaging optical lens assembly (its reference numeral is omitted) of the present disclosure and an image sensor  799 . The imaging optical lens assembly includes, in order from an object side to an image side along an optical path, an aperture stop  700 , a first lens element  710 , a second lens element  720 , a third lens element  730 , a fourth lens element  740 , a stop  701 , a fifth lens element  750 , a sixth lens element  760 , a seventh lens element  770 , an eighth lens element  780 , a ninth lens element  790 , an IR-cut filter  793  and an image surface  796 . The imaging optical lens assembly includes nine lens elements ( 710 ,  720 ,  730 ,  740 ,  750 ,  760 ,  770 ,  780  and  790 ) with no additional lens element disposed between each of the adjacent nine lens elements, wherein there is an air gap between each of all adjacent lens elements. 
     The first lens element  710  with positive refractive power has an object-side surface  711  being convex in a paraxial region thereof and an image-side surface  712  being concave in a paraxial region thereof. The first lens element  710  is made of plastic material and has the object-side surface  711  and the image-side surface  712  being both aspheric. 
     The second lens element  720  with negative refractive power has an object-side surface  721  being convex in a paraxial region thereof and an image-side surface  722  being concave in a paraxial region thereof. The second lens element  720  is made of plastic material and has the object-side surface  721  and the image-side surface  722  being both aspheric. 
     The third lens element  730  with negative refractive power has an object-side surface  731  being convex in a paraxial region thereof and an image-side surface  732  being concave in a paraxial region thereof. The third lens element  730  is made of plastic material and has the object-side surface  731  and the image-side surface  732  being both aspheric. 
     The fourth lens element  740  with positive refractive power has an object-side surface  741  being convex in a paraxial region thereof and an image-side surface  742  being convex in a paraxial region thereof. The fourth lens element  740  is made of plastic material and has the object-side surface  741  and the image-side surface  742  being both aspheric. 
     The fifth lens element  750  with positive refractive power has an object-side surface  751  being concave in a paraxial region thereof and an image-side surface  752  being convex in a paraxial region thereof. The fifth lens element  750  is made of plastic material and has the object-side surface  751  and the image-side surface  752  being both aspheric. 
     The sixth lens element  760  with negative refractive power has an object-side surface  761  being concave in a paraxial region thereof and an image-side surface  762  being concave in a paraxial region thereof. The sixth lens element  760  is made of plastic material and has the object-side surface  761  and the image-side surface  762  being both aspheric. 
     The seventh lens element  770  with negative refractive power has an object-side surface  771  being convex in a paraxial region thereof and an image-side surface  772  being concave in a paraxial region thereof. The seventh lens element  770  is made of plastic material and has the object-side surface  771  and the image-side surface  772  being both aspheric. 
     The eighth lens element  780  with positive refractive power has an object-side surface  781  being convex in a paraxial region thereof and an image-side surface  782  being convex in a paraxial region thereof. The eighth lens element  780  is made of plastic material and has the object-side surface  781  and the image-side surface  782  being both aspheric. The object-side surface  781  of the eighth lens element  780  has at least one critical point in an off-axis region thereof. 
     The ninth lens element  790  with negative refractive power has an object-side surface  791  being concave in a paraxial region thereof and an image-side surface  792  being concave in a paraxial region thereof. The ninth lens element  790  is made of plastic material and has the object-side surface  791  and the image-side surface  792  being both aspheric. The image-side surface  792  of the ninth lens element  790  has at least one convex critical point in an off-axis region thereof. 
     The IR-cut filter  793  is made of glass material and located between the ninth lens element  790  and the image surface  796 , and will not affect the focal length of the imaging optical lens assembly. The image sensor  799  is disposed on or near the image surface  796  of the imaging optical lens assembly. 
     The detailed optical data of the 7th embodiment are shown in Table 13 and the aspheric surface data are shown in Table 14 below. 
     
       
         
           
               
             
               
                 TABLE 13 
               
             
            
               
                   
               
               
                 7th Embodiment 
               
               
                 f = 6.74 mm, Fno = 1.86, HFOV = 40.5 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
               
                 1 
                 Ape. Stop 
                 Plano 
                 −0.719 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 2 
                 Lens 1 
                 2.653 
                 (ASP) 
                 1.016 
                 Plastic 
                 1.544 
                 56.0 
                 5.67 
               
               
                 3 
                   
                 16.304 
                 (ASP) 
                 0.030 
                   
                   
                   
                   
               
               
                 4 
                 Lens 2 
                 6.840 
                 (ASP) 
                 0.252 
                 Plastic 
                 1.669 
                 19.5 
                 −16.02 
               
               
                 5 
                   
                 4.114 
                 (ASP) 
                 0.490 
                   
                   
                   
                   
               
               
                 6 
                 Lens 3 
                 13.271 
                 (ASP) 
                 0.250 
                 Plastic 
                 1.660 
                 20.4 
                 −43.74 
               
               
                 7 
                   
                 9.023 
                 (ASP) 
                 0.213 
                   
                   
                   
                   
               
               
                 8 
                 Lens 4 
                 255.563 
                 (ASP) 
                 0.484 
                 Plastic 
                 1.544 
                 56.0 
                 36.81 
               
               
                 9 
                   
                 −21.711 
                 (ASP) 
                 −0.076 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 10 
                 Stop 
                 Plano 
                 0.281 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 11 
                 Lens 5 
                 −71.842 
                 (ASP) 
                 0.429 
                 Plastic 
                 1.544 
                 56.0 
                 13.20 
               
               
                 12 
                   
                 −6.542 
                 (ASP) 
                 0.040 
                   
                   
                   
                   
               
               
                 13 
                 Lens 6 
                 −8.196 
                 (ASP) 
                 0.388 
                 Plastic 
                 1.584 
                 28.2 
                 −13.15 
               
               
                 14 
                   
                 125.614 
                 (ASP) 
                 0.430 
                   
                   
                   
                   
               
               
                 15 
                 Lens 7 
                 10.227 
                 (ASP) 
                 0.405 
                 Plastic 
                 1.642 
                 22.5 
                 −303.12 
               
               
                 16 
                   
                 9.566 
                 (ASP) 
                 0.305 
                   
                   
                   
                   
               
               
                 17 
                 Lens 8 
                 5.184 
                 (ASP) 
                 0.870 
                 Plastic 
                 1.559 
                 40.4 
                 8.14 
               
               
                 18 
                   
                 −34.696 
                 (ASP) 
                 0.702 
                   
                   
                   
                   
               
               
                 19 
                 Lens 9 
                 −7.691 
                 (ASP) 
                 0.682 
                 Plastic 
                 1.559 
                 40.4 
                 −4.67 
               
               
                 20 
                   
                 4.078 
                 (ASP) 
                 0.500 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 21 
                 IR-cut filter 
                 Plano 
                 0.210 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 22 
                   
                 Plano 
                 0.301 
                   
                   
                   
                   
               
               
                 23 
                 Image 
                 Plano 
                 0.000 
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
               
                 An effective radius of the stop 701 (Surface 10) is 1.800 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 14 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k= 
                 −6.3440E−01 
                 −9.8009E+01 
                 −3.5090E+00 
                 1.6069E+00 
                  1.3053E−16 
               
               
                 A4= 
                  5.0326E−03 
                 −3.1444E−03 
                 −1.0242E−02 
                 −9.4693E−03  
                 −2.6042E−02 
               
               
                 A6= 
                  1.2156E−03 
                  7.8923E−03 
                  9.9379E−03 
                 3.4250E−03 
                 −1.6767E−03 
               
               
                 A8= 
                 −8.3765E−04 
                 −6.2594E−03 
                 −4.7832E−03 
                 −2.0737E−05  
                  9.5461E−04 
               
               
                 A10= 
                  7.0408E−04 
                  3.1104E−03 
                  2.0328E−03 
                 2.0033E−04 
                  1.3237E−03 
               
               
                 A12= 
                 −3.1662E−04 
                 −9.7349E−04 
                 −4.2357E−04 
                 4.4109E−05 
                 −3.4588E−04 
               
               
                 A14= 
                  7.4471E−05 
                  1.7105E−04 
                  3.8308E−05 
                 9.2970E−06 
                 −2.6787E−06 
               
               
                 A16= 
                 −7.7163E−06 
                 −1.3556E−05 
                 — 
                 — 
                 — 
               
               
                   
               
               
                 Surface # 
                 7 
                 8 
                 9 
                 11 
                 12 
               
               
                   
               
               
                 k= 
                  9.7944E+00 
                 −1.0000E+00 
                  9.9000E+01 
                 −1.0000E+00 
                 5.3458E+00 
               
               
                 A4= 
                 −2.1989E−02 
                 −3.3613E−03 
                 −8.6213E−03 
                  1.8650E−03 
                 8.0594E−02 
               
               
                 A6= 
                 −1.2458E−03 
                 −4.5661E−03 
                 −1.6590E−02 
                 −4.0324E−02 
                 −1.3641E−01  
               
               
                 A8= 
                 −5.5245E−04 
                  6.3908E−03 
                  2.1496E−02 
                  3.2934E−02 
                 1.1066E−01 
               
               
                 A10= 
                  2.5511E−03 
                 −1.0872E−02 
                 −1.8780E−02 
                 −2.1042E−02 
                 −5.6795E−02  
               
               
                 A12= 
                 −7.1734E−04 
                  9.0474E−03 
                  1.0193E−02 
                  9.1456E−03 
                 1.8492E−02 
               
               
                 A14= 
                  5.0934E−05 
                 −3.9997E−03 
                 −3.3307E−03 
                 −2.3135E−03 
                 −3.5814E−03  
               
               
                 A16= 
                 — 
                  9.2931E−04 
                  6.1269E−04 
                  3.2277E−04 
                 3.6863E−04 
               
               
                 A18= 
                 — 
                 −8.7601E−05 
                 −4.7878E−05 
                 −2.2837E−05 
                 −1.5236E−05  
               
               
                 A20= 
                 — 
                 — 
                 — 
                  6.4957E−07 
                 — 
               
               
                   
               
               
                 Surface # 
                 13 
                 14 
                 15 
                 16 
                 17 
               
               
                   
               
               
                 k= 
                 −7.6161E−01 
                 −1.0000E+00 
                 −7.8470E−01 
                 −1.5470E+01 
                 −5.5689E−01 
               
               
                 A4= 
                  3.8545E−02 
                 −3.2531E−02 
                 −4.9171E−03 
                 −1.6845E−02 
                 −1.9858E−02 
               
               
                 A6= 
                 −9.9425E−02 
                  6.9859E−04 
                 −3.9405E−03 
                  3.4233E−03 
                 −2.1534E−03 
               
               
                 A8= 
                  9.1659E−02 
                  4.6921E−03 
                 −2.4622E−05 
                 −1.9062E−03 
                  9.5908E−04 
               
               
                 A10= 
                 −4.6979E−02 
                 −2.3106E−03 
                 −1.1366E−04 
                  1.7466E−04 
                 −2.9915E−04 
               
               
                 A12= 
                  1.4501E−02 
                  5.3909E−04 
                  1.4146E−04 
                  1.3087E−04 
                  8.7030E−05 
               
               
                 A14= 
                 −2.6572E−03 
                 −8.6000E−05 
                 −4.6571E−05 
                 −4.9760E−05 
                 −1.6565E−05 
               
               
                 A16= 
                  2.6547E−04 
                  1.3683E−05 
                  6.3748E−06 
                  7.7990E−06 
                  1.7912E−06 
               
               
                 A18= 
                 −1.1119E−05 
                 −1.6356E−06 
                 −3.0919E−07 
                 −5.9116E−07 
                 −1.0266E−07 
               
               
                 A20= 
                 — 
                  8.1882E−08 
                 — 
                  1.7680E−08 
                  2.4778E−09 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface # 
                 18 
                 19 
                 20 
               
               
                   
                   
               
               
                   
                 k= 
                 −1.0000E+00 
                 −6.0654E−01 
                 −1.2092E+00 
               
               
                   
                 A4= 
                  1.7764E−02 
                 −1.6197E−02 
                 −3.0619E−02 
               
               
                   
                 A6= 
                 −1.1235E−02 
                 −2.7133E−03 
                  4.3816E−03 
               
               
                   
                 A8= 
                  2.4702E−03 
                  1.4209E−03 
                 −4.5887E−04 
               
               
                   
                 A10= 
                 −2.6802E−04 
                 −2.1320E−04 
                  3.4186E−05 
               
               
                   
                 A12= 
                  1.0363E−05 
                  1.7535E−05 
                 −1.8161E−06 
               
               
                   
                 A14= 
                  7.2313E−07 
                 −8.8245E−07 
                  6.7012E−08 
               
               
                   
                 A16= 
                 −1.0268E−07 
                  2.7196E−08 
                 −1.6085E−09 
               
               
                   
                 A18= 
                  4.6071E−09 
                 −4.7278E−10 
                  2.2510E−11 
               
               
                   
                 A20= 
                 −7.6087E−11 
                  3.5483E−12 
                 −1.4222E−13 
               
               
                   
                   
               
            
           
         
       
     
     In the 7th embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 7th embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from Table 13 and Table 14 as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 7th Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 f [mm] 
                 6.74 
                 TL/ImgH 
                 1.36 
               
               
                   
                 Fno 
                 1.86 
                 TL/[ImgH × tan(CRA)] 
                 1.93 
               
               
                   
                 HFOV [deg.] 
                 40.5 
                 (R15 + R16)/(R15 − R16) 
                 −0.74 
               
               
                   
                 FOV [deg.] 
                 81.0 
                 |f/R15| + |f/R16| 
                 1.49 
               
               
                   
                 V1/N1 
                 36.26 
                 |f/R16| + |f/R17| 
                 1.07 
               
               
                   
                 V2/N2 
                 11.65 
                 R18/ImgH 
                 0.67 
               
               
                   
                 V3/N3 
                 12.29 
                 Y92/BL 
                 4.94 
               
               
                   
                 V4/N4 
                 36.26 
                 Yc92/Yc81 
                 1.36 
               
               
                   
                 V5/N5 
                 36.26 
                 MaxET9/ET9 
                 1.54 
               
               
                   
                 V6/N6 
                 17.83 
                 Y_MaxET9/Y92 
                 0.66 
               
               
                   
                 V7/N7 
                 13.70 
                 f/f1 
                 1.19 
               
               
                   
                 V8/N8 
                 25.95 
                 f/f2 
                 −0.42 
               
               
                   
                 V9/N9 
                 25.95 
                 f/f3 
                 −0.15 
               
               
                   
                 V20 
                 1 
                 f/f4 
                 0.18 
               
               
                   
                 V26 
                 3 
                 f/f5 
                 0.51 
               
               
                   
                 V40 
                 4 
                 f/f6 
                 −0.51 
               
               
                   
                 Vmin 
                 19.5 
                 f/f7 
                 −0.02 
               
               
                   
                 Td/ΣCT 
                 1.51 
                 f/f8 
                 0.83 
               
               
                   
                 TL/f 
                 1.22 
                 f/f9 
                 −1.44 
               
               
                   
                   
               
            
           
         
       
     
     8th Embodiment 
       FIG.  15    is a schematic view of an image capturing unit according to the 8th embodiment of the present disclosure.  FIG.  16    shows, in order from left to right, spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 8th embodiment. In  FIG.  15   , the image capturing unit includes the imaging optical lens assembly (its reference numeral is omitted) of the present disclosure and an image sensor  899 . The imaging optical lens assembly includes, in order from an object side to an image side along an optical path, an aperture stop  800 , a first lens element  810 , a second lens element  820 , a third lens element  830 , a stop  801 , a fourth lens element  840 , a stop  802 , a fifth lens element  850 , a sixth lens element  860 , a seventh lens element  870 , an eighth lens element  880 , a ninth lens element  890 , an IR-cut filter  893  and an image surface  896 . The imaging optical lens assembly includes nine lens elements ( 810 ,  820 ,  830 ,  840 ,  850 ,  860 ,  870 ,  880  and  890 ) with no additional lens element disposed between each of the adjacent nine lens elements, wherein there is an air gap between each of all adjacent lens elements. 
     The first lens element  810  with positive refractive power has an object-side surface  811  being convex in a paraxial region thereof and an image-side surface  812  being concave in a paraxial region thereof. The first lens element  810  is made of plastic material and has the object-side surface  811  and the image-side surface  812  being both aspheric. 
     The second lens element  820  with negative refractive power has an object-side surface  821  being convex in a paraxial region thereof and an image-side surface  822  being concave in a paraxial region thereof. The second lens element  820  is made of plastic material and has the object-side surface  821  and the image-side surface  822  being both aspheric. 
     The third lens element  830  with negative refractive power has an object-side surface  831  being convex in a paraxial region thereof and an image-side surface  832  being concave in a paraxial region thereof. The third lens element  830  is made of plastic material and has the object-side surface  831  and the image-side surface  832  being both aspheric. 
     The fourth lens element  840  with positive refractive power has an object-side surface  841  being convex in a paraxial region thereof and an image-side surface  842  being convex in a paraxial region thereof. The fourth lens element  840  is made of plastic material and has the object-side surface  841  and the image-side surface  842  being both aspheric. 
     The fifth lens element  850  with positive refractive power has an object-side surface  851  being concave in a paraxial region thereof and an image-side surface  852  being convex in a paraxial region thereof. The fifth lens element  850  is made of plastic material and has the object-side surface  851  and the image-side surface  852  being both aspheric. 
     The sixth lens element  860  with negative refractive power has an object-side surface  861  being concave in a paraxial region thereof and an image-side surface  862  being convex in a paraxial region thereof. The sixth lens element  860  is made of plastic material and has the object-side surface  861  and the image-side surface  862  being both aspheric. 
     The seventh lens element  870  with positive refractive power has an object-side surface  871  being convex in a paraxial region thereof and an image-side surface  872  being concave in a paraxial region thereof. The seventh lens element  870  is made of plastic material and has the object-side surface  871  and the image-side surface  872  being both aspheric. 
     The eighth lens element  880  with positive refractive power has an object-side surface  881  being convex in a paraxial region thereof and an image-side surface  882  being convex in a paraxial region thereof. The eighth lens element  880  is made of plastic material and has the object-side surface  881  and the image-side surface  882  being both aspheric. The object-side surface  881  of the eighth lens element  880  has at least one critical point in an off-axis region thereof. The image-side surface  882  of the eighth lens element  880  has at least one critical point in an off-axis region thereof. 
     The ninth lens element  890  with negative refractive power has an object-side surface  891  being concave in a paraxial region thereof and an image-side surface  892  being concave in a paraxial region thereof. The ninth lens element  890  is made of plastic material and has the object-side surface  891  and the image-side surface  892  being both aspheric. The image-side surface  892  of the ninth lens element  890  has at least one convex critical point in an off-axis region thereof. 
     The IR-cut filter  893  is made of glass material and located between the ninth lens element  890  and the image surface  896 , and will not affect the focal length of the imaging optical lens assembly. The image sensor  899  is disposed on or near the image surface  896  of the imaging optical lens assembly. 
     The detailed optical data of the 8th embodiment are shown in Table 15 and the aspheric surface data are shown in Table 16 below. 
     
       
         
           
               
             
               
                 TABLE 15 
               
             
            
               
                   
               
               
                 8th Embodiment 
               
               
                 f = 6.48 mm, Fno = 1.86, HFOV = 41.8 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
               
                 1 
                 Ape. Stop 
                 Plano 
                 −0.643 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 2 
                 Lens 1 
                 2.721 
                 (ASP) 
                 0.845 
                 Plastic 
                 1.544 
                 56.0 
                 5.80 
               
               
                 3 
                   
                 17.632 
                 (ASP) 
                 0.030 
                   
                   
                   
                   
               
               
                 4 
                 Lens 2 
                 7.773 
                 (ASP) 
                 0.250 
                 Plastic 
                 1.639 
                 23.3 
                 −15.57 
               
               
                 5 
                   
                 4.308 
                 (ASP) 
                 0.434 
                   
                   
                   
                   
               
               
                 6 
                 Lens 3 
                 10.204 
                 (ASP) 
                 0.250 
                 Plastic 
                 1.669 
                 19.5 
                 −62.09 
               
               
                 7 
                   
                 8.111 
                 (ASP) 
                 0.151 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 8 
                 Stop 
                 Plano 
                 0.092 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 9 
                 Lens 4 
                 564.214 
                 (ASP) 
                 0.496 
                 Plastic 
                 1.544 
                 56.0 
                 39.00 
               
               
                 10 
                   
                 −22.041 
                 (ASP) 
                 −0.208 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 11 
                 Stop 
                 Plano 
                 0.410 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 12 
                 Lens 5 
                 −78.263 
                 (ASP) 
                 0.589 
                 Plastic 
                 1.544 
                 56.0 
                 11.32 
               
               
                 13 
                   
                 −5.725 
                 (ASP) 
                 0.052 
                   
                   
                   
                   
               
               
                 14 
                 Lens 6 
                 −6.116 
                 (ASP) 
                 0.360 
                 Plastic 
                 1.686 
                 18.4 
                 −10.91 
               
               
                 15 
                   
                 −34.287 
                 (ASP) 
                 0.471 
                   
                   
                   
                   
               
               
                 16 
                 Lens 7 
                 5.841 
                 (ASP) 
                 0.406 
                 Plastic 
                 1.686 
                 18.4 
                 42.48 
               
               
                 17 
                   
                 7.099 
                 (ASP) 
                 0.374 
                   
                   
                   
                   
               
               
                 18 
                 Lens 8 
                 7.281 
                 (ASP) 
                 0.486 
                 Plastic 
                 1.584 
                 28.2 
                 7.83 
               
               
                 19 
                   
                 −11.997 
                 (ASP) 
                 0.842 
                   
                   
                   
                   
               
               
                 20 
                 Lens 9 
                 −8.291 
                 (ASP) 
                 0.717 
                 Plastic 
                 1.583 
                 30.2 
                 −4.20 
               
               
                 21 
                   
                 3.578 
                 (ASP) 
                 0.500 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 22 
                 IR-cut filter 
                 Plano 
                 0.210 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 23 
                   
                 Plano 
                 0.342 
                   
                   
                   
                   
               
               
                 24 
                 Image 
                 Plano 
                 0.000 
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
               
                 An effective radius of the stop 801 (Surface 8) is 1.700 mm. 
               
               
                 An effective radius of the stop 802 (Surface 11) is 1.850 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 16 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k= 
                 −6.5811E−01 
                 −7.1296E+01 
                 −3.6358E+00 
                 1.7984E+00 
                 −4.9466E+00 
               
               
                 A4= 
                  5.2638E−03 
                 −1.1560E−03 
                 −8.2514E−03 
                 −9.8125E−03  
                 −2.3840E−02 
               
               
                 A6= 
                  1.7006E−03 
                  4.8320E−03 
                  7.8728E−03 
                 4.0797E−03 
                 −1.9735E−03 
               
               
                 A8= 
                 −1.5180E−03 
                 −3.2612E−03 
                 −2.7870E−03 
                 −5.5509E−04  
                  1.3948E−03 
               
               
                 A10= 
                  1.3160E−03 
                  1.3998E−03 
                  8.9037E−04 
                 5.6201E−04 
                  6.5379E−04 
               
               
                 A12= 
                 −6.2472E−04 
                 −4.3817E−04 
                 −1.0975E−04 
                 −1.4223E−04  
                 −1.3108E−04 
               
               
                 A14= 
                  1.5622E−04 
                  8.7278E−05 
                  7.7234E−06 
                 5.1273E−05 
                 −1.5682E−05 
               
               
                 A16= 
                 −1.7292E−05 
                 −9.1524E−06 
                 — 
                 — 
                 — 
               
               
                   
               
               
                 Surface # 
                 7 
                 9 
                 10 
                 12 
                 13 
               
               
                   
               
               
                 k= 
                  8.1282E+00 
                 −1.0000E+00 
                  9.4811E+01 
                 −1.0000E+00 
                 5.2172E+00 
               
               
                 A4= 
                 −2.1475E−02 
                 −6.9424E−03 
                 −1.4555E−02 
                 −1.3769E−02 
                 4.6930E−02 
               
               
                 A6= 
                 −2.4315E−03 
                 −4.1893E−03 
                 −1.0815E−02 
                 −1.8472E−02 
                 −9.0059E−02  
               
               
                 A8= 
                  1.4642E−03 
                  3.6932E−03 
                  1.2420E−02 
                  1.3098E−02 
                 7.4172E−02 
               
               
                 A10= 
                  9.1407E−04 
                 −5.2927E−03 
                 −9.8664E−03 
                 −7.7018E−03 
                 −3.6787E−02  
               
               
                 A12= 
                 −1.7960E−04 
                  4.3330E−03 
                  5.2420E−03 
                  3.6569E−03 
                 1.1158E−02 
               
               
                 A14= 
                 −1.6134E−05 
                 −1.8279E−03 
                 −1.6694E−03 
                 −1.0811E−03 
                 −1.9777E−03  
               
               
                 A16= 
                 — 
                  3.9709E−04 
                  2.8930E−04 
                  1.7416E−04 
                 1.8501E−04 
               
               
                 A18= 
                 — 
                 −3.4172E−05 
                 −2.0188E−05 
                 −1.1666E−05 
                 −6.8661E−06  
               
               
                 A20= 
                 — 
                 — 
                 — 
                  2.8030E−08 
                 — 
               
               
                   
               
               
                 Surface # 
                 14 
                 15 
                 16 
                 17 
                 18 
               
               
                   
               
               
                 k= 
                 1.0746E+00 
                 −1.0000E+00 
                 −6.5697E+00 
                 −1.9940E+01 
                  1.7628E+00 
               
               
                 A4= 
                 2.0580E−02 
                 −2.8999E−02 
                 −1.8060E−02 
                 −1.8476E−02 
                  9.8437E−04 
               
               
                 A6= 
                 −6.6525E−02  
                 −7.2640E−04 
                  3.0974E−03 
                  3.7028E−03 
                 −4.9765E−03 
               
               
                 A8= 
                 6.5307E−02 
                  8.1007E−03 
                 −1.6741E−03 
                 −2.0244E−03 
                 −1.6894E−04 
               
               
                 A10= 
                 −3.4557E−02  
                 −5.4868E−03 
                  2.9742E−04 
                  5.0815E−04 
                  1.8429E−04 
               
               
                 A12= 
                 1.0705E−02 
                  1.9826E−03 
                 −1.8971E−06 
                 −6.0001E−05 
                 −1.0209E−05 
               
               
                 A14= 
                 −1.9293E−03  
                 −4.5065E−04 
                 −1.1041E−05 
                 −2.1029E−07 
                 −2.0396E−06 
               
               
                 A16= 
                 1.8822E−04 
                  6.5727E−05 
                  1.8375E−06 
                  9.8659E−07 
                  2.0234E−07 
               
               
                 A18= 
                 −7.7323E−06  
                 −5.5423E−06 
                 −8.7830E−08 
                 −1.0640E−07 
                  4.3602E−10 
               
               
                 A20= 
                 — 
                  2.0097E−07 
                 — 
                  3.6093E−09 
                 −3.5117E−10 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface # 
                 19 
                 20 
                 21 
               
               
                   
                   
               
               
                   
                 k= 
                 −1.0000E+00 
                 −2.8949E+00 
                 −1.4341E+00 
               
               
                   
                 A4= 
                  3.3724E−02 
                 −1.8328E−02 
                 −3.2740E−02 
               
               
                   
                 A6= 
                 −9.6702E−03 
                 −2.7587E−03 
                  5.0286E−03 
               
               
                   
                 A8= 
                 −2.5026E−04 
                  1.3533E−03 
                 −6.1919E−04 
               
               
                   
                 A10= 
                  5.9676E−04 
                 −1.7476E−04 
                  5.7647E−05 
               
               
                   
                 A12= 
                 −1.3237E−04 
                  1.0822E−05 
                 −3.8686E−06 
               
               
                   
                 A14= 
                  1.4613E−05 
                 −3.0202E−07 
                  1.7348E−07 
               
               
                   
                 A16= 
                 −9.0533E−07 
                 −1.8529E−10 
                 −4.8180E−09 
               
               
                   
                 A18= 
                  3.0108E−08 
                  2.0583E−10 
                  7.4703E−11 
               
               
                   
                 A20= 
                 −4.1941E−10 
                 −3.4018E−12 
                 −4.9861E−13 
               
               
                   
                   
               
            
           
         
       
     
     In the 8th embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 8th embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from Table 15 and Table 16 as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 8th Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 f [mm] 
                 6.48 
                 TL/ImgH 
                 1.34 
               
               
                   
                 Fno 
                 1.86 
                 TL/[ImgH × tan(CRA)] 
                 1.91 
               
               
                   
                 HFOV [deg.] 
                 41.8 
                 (R15 + R16)/(R15 − R16) 
                 −0.24 
               
               
                   
                 FOV [deg.] 
                 83.6 
                 |f/R15| + |f/R16| 
                 1.43 
               
               
                   
                 V1/N1 
                 36.26 
                 |f/R16| + |f/R17| 
                 1.32 
               
               
                   
                 V2/N2 
                 14.21 
                 R18/ImgH 
                 0.59 
               
               
                   
                 V3/N3 
                 11.65 
                 Y92/BL 
                 4.61 
               
               
                   
                 V4/N4 
                 36.26 
                 Yc92/Yc81 
                 1.32 
               
               
                   
                 V5/N5 
                 36.26 
                 MaxET9/ET9 
                 1.99 
               
               
                   
                 V6/N6 
                 10.90 
                 Y_MaxET9/Y92 
                 0.66 
               
               
                   
                 V7/N7 
                 10.90 
                 f/f1 
                 1.12 
               
               
                   
                 V8/N8 
                 17.83 
                 f/f2 
                 −0.42 
               
               
                   
                 V9/N9 
                 19.11 
                 f/f3 
                 −0.10 
               
               
                   
                 V20 
                 3 
                 f/f4 
                 0.17 
               
               
                   
                 V26 
                 4 
                 f/f5 
                 0.57 
               
               
                   
                 V40 
                 6 
                 f/f6 
                 −0.59 
               
               
                   
                 Vmin 
                 18.4 
                 f/f7 
                 0.15 
               
               
                   
                 Td/ΣCT 
                 1.60 
                 f/f8 
                 0.83 
               
               
                   
                 TL/f 
                 1.25 
                 f/f9 
                 −1.54 
               
               
                   
                   
               
            
           
         
       
     
     9th Embodiment 
       FIG.  17    is a schematic view of an image capturing unit according to the 9th embodiment of the present disclosure.  FIG.  18    shows, in order from left to right, spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 9th embodiment. In  FIG.  17   , the image capturing unit includes the imaging optical lens assembly (its reference numeral is omitted) of the present disclosure and an image sensor  999 . The imaging optical lens assembly includes, in order from an object side to an image side along an optical path, an aperture stop  900 , a first lens element  910 , a second lens element  920 , a third lens element  930 , a stop  901 , a fourth lens element  940 , a stop  902 , a fifth lens element  950 , a sixth lens element  960 , a seventh lens element  970 , an eighth lens element  980 , a ninth lens element  990 , an IR-cut filter  993  and an image surface  996 . The imaging optical lens assembly includes nine lens elements ( 910 ,  920 ,  930 ,  940 ,  950 ,  960 ,  970 ,  980  and  990 ) with no additional lens element disposed between each of the adjacent nine lens elements, wherein there is an air gap between each of all adjacent lens elements. 
     The first lens element  910  with positive refractive power has an object-side surface  911  being convex in a paraxial region thereof and an image-side surface  912  being concave in a paraxial region thereof. The first lens element  910  is made of plastic material and has the object-side surface  911  and the image-side surface  912  being both aspheric. 
     The second lens element  920  with negative refractive power has an object-side surface  921  being convex in a paraxial region thereof and an image-side surface  922  being concave in a paraxial region thereof. The second lens element  920  is made of plastic material and has the object-side surface  921  and the image-side surface  922  being both aspheric. 
     The third lens element  930  with negative refractive power has an object-side surface  931  being convex in a paraxial region thereof and an image-side surface  932  being concave in a paraxial region thereof. The third lens element  930  is made of plastic material and has the object-side surface  931  and the image-side surface  932  being both aspheric. 
     The fourth lens element  940  with positive refractive power has an object-side surface  941  being concave in a paraxial region thereof and an image-side surface  942  being convex in a paraxial region thereof. The fourth lens element  940  is made of plastic material and has the object-side surface  941  and the image-side surface  942  being both aspheric. 
     The fifth lens element  950  with positive refractive power has an object-side surface  951  being concave in a paraxial region thereof and an image-side surface  952  being convex in a paraxial region thereof. The fifth lens element  950  is made of plastic material and has the object-side surface  951  and the image-side surface  952  being both aspheric. 
     The sixth lens element  960  with negative refractive power has an object-side surface  961  being concave in a paraxial region thereof and an image-side surface  962  being convex in a paraxial region thereof. The sixth lens element  960  is made of plastic material and has the object-side surface  961  and the image-side surface  962  being both aspheric. 
     The seventh lens element  970  with positive refractive power has an object-side surface  971  being convex in a paraxial region thereof and an image-side surface  972  being concave in a paraxial region thereof. The seventh lens element  970  is made of plastic material and has the object-side surface  971  and the image-side surface  972  being both aspheric. 
     The eighth lens element  980  with positive refractive power has an object-side surface  981  being concave in a paraxial region thereof and an image-side surface  982  being convex in a paraxial region thereof. The eighth lens element  980  is made of plastic material and has the object-side surface  981  and the image-side surface  982  being both aspheric. The object-side surface  981  of the eighth lens element  980  has at least one critical point in an off-axis region thereof. 
     The ninth lens element  990  with negative refractive power has an object-side surface  991  being concave in a paraxial region thereof and an image-side surface  992  being concave in a paraxial region thereof. The ninth lens element  990  is made of plastic material and has the object-side surface  991  and the image-side surface  992  being both aspheric. The image-side surface  992  of the ninth lens element  990  has at least one convex critical point in an off-axis region thereof. 
     The IR-cut filter  993  is made of glass material and located between the ninth lens element  990  and the image surface  996 , and will not affect the focal length of the imaging optical lens assembly. The image sensor  999  is disposed on or near the image surface  996  of the imaging optical lens assembly. 
     The detailed optical data of the 9th embodiment are shown in Table 17 and the aspheric surface data are shown in Table 18 below. 
     
       
         
           
               
             
               
                 TABLE 17 
               
             
            
               
                   
               
               
                 9th Embodiment 
               
               
                 f = 6.91 mm, Fno = 1.88, HFOV = 40.0 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
               
                 1 
                 Ape. Stop 
                 Plano 
                 −0.694 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 2 
                 Lens 1 
                 2.825 
                 (ASP) 
                 0.982 
                 Plastic 
                 1.545 
                 56.0 
                 5.58 
               
               
                 3 
                   
                 35.104 
                 (ASP) 
                 0.043 
                   
                   
                   
                   
               
               
                 4 
                 Lens 2 
                 10.206 
                 (ASP) 
                 0.340 
                 Plastic 
                 1.614 
                 26.0 
                 −13.33 
               
               
                 5 
                   
                 4.483 
                 (ASP) 
                 0.452 
                   
                   
                   
                   
               
               
                 6 
                 Lens 3 
                 13.692 
                 (ASP) 
                 0.254 
                 Plastic 
                 1.656 
                 21.3 
                 −64.97 
               
               
                 7 
                   
                 10.287 
                 (ASP) 
                 0.145 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 8 
                 Stop 
                 Plano 
                 0.122 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 9 
                 Lens 4 
                 −76.366 
                 (ASP) 
                 0.529 
                 Plastic 
                 1.544 
                 55.9 
                 61.43 
               
               
                 10 
                   
                 −23.293 
                 (ASP) 
                 −0.236 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 11 
                 Stop 
                 Plano 
                 0.412 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 12 
                 Lens 5 
                 −114.846 
                 (ASP) 
                 0.554 
                 Plastic 
                 1.544 
                 55.9 
                 10.59 
               
               
                 13 
                   
                 −5.491 
                 (ASP) 
                 0.042 
                   
                   
                   
                   
               
               
                 14 
                 Lens 6 
                 −5.976 
                 (ASP) 
                 0.379 
                 Plastic 
                 1.679 
                 18.4 
                 −11.63 
               
               
                 15 
                   
                 −25.137 
                 (ASP) 
                 0.549 
                   
                   
                   
                   
               
               
                 16 
                 Lens 7 
                 5.369 
                 (ASP) 
                 0.442 
                 Plastic 
                 1.705 
                 14.0 
                 24.38 
               
               
                 17 
                   
                 7.543 
                 (ASP) 
                 0.520 
                   
                   
                   
                   
               
               
                 18 
                 Lens 8 
                 −64.124 
                 (ASP) 
                 0.509 
                 Plastic 
                 1.607 
                 26.6 
                 9.08 
               
               
                 19 
                   
                 −5.093 
                 (ASP) 
                 0.728 
                   
                   
                   
                   
               
               
                 20 
                 Lens 9 
                 −6.135 
                 (ASP) 
                 0.702 
                 Plastic 
                 1.607 
                 26.6 
                 −4.01 
               
               
                 21 
                   
                 4.217 
                 (ASP) 
                 0.600 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 22 
                 IR-cut filter 
                 Plano 
                 0.210 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 23 
                   
                 Plano 
                 0.221 
                   
                   
                   
                   
               
               
                 24 
                 Image 
                 Plano 
                 0.000 
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
               
                 An effective radius of the stop 901 (Surface 8) is 1.740 mm. 
               
               
                 An effective radius of the stop 902 (Surface 11) is 1.900 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 18 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k= 
                 −6.6829E−01 
                 −5.3676E+01 
                 −3.3020E+00 
                 1.6576E+00 
                 −4.4309E−01 
               
               
                 A4= 
                  4.6187E−03 
                 −8.5044E−04 
                 −7.2062E−03 
                 −9.0811E−03  
                 −1.9867E−02 
               
               
                 A6= 
                  1.0000E−03 
                  4.7649E−03 
                  7.1572E−03 
                 3.5368E−03 
                 −1.2586E−03 
               
               
                 A8= 
                 −6.3711E−04 
                 −3.4534E−03 
                 −3.2961E−03 
                 −6.9493E−04  
                  1.2019E−03 
               
               
                 A10= 
                  5.2868E−04 
                  1.4494E−03 
                  1.0437E−03 
                 2.9888E−04 
                  2.1217E−04 
               
               
                 A12= 
                 −2.2755E−04 
                 −3.9798E−04 
                 −1.4841E−04 
                 −2.1194E−05  
                  6.5373E−06 
               
               
                 A14= 
                  5.1338E−05 
                  6.6666E−05 
                  9.2252E−06 
                 1.8588E−05 
                 −1.8117E−05 
               
               
                 A16= 
                 −5.1031E−06 
                 −5.4549E−06 
                 — 
                 — 
                 — 
               
               
                   
               
               
                 Surface # 
                 7 
                 9 
                 10 
                 12 
                 13 
               
               
                   
               
               
                 k= 
                  1.4816E+01 
                 −1.0000E+00 
                  6.1520E+01 
                 −1.0000E+00 
                 3.9283E+00 
               
               
                 A4= 
                 −1.6963E−02 
                 −6.5090E−03 
                 −1.6230E−02 
                 −1.4642E−02 
                 3.8966E−02 
               
               
                 A6= 
                 −1.5611E−03 
                 −2.9914E−03 
                 −9.4687E−03 
                 −1.7912E−02 
                 −6.9411E−02  
               
               
                 A8= 
                  1.4545E−03 
                  2.5937E−03 
                  1.1553E−02 
                  1.5078E−02 
                 5.3271E−02 
               
               
                 A10= 
                  3.3376E−04 
                 −3.2449E−03 
                 −9.2638E−03 
                 −9.3147E−03 
                 −2.4733E−02  
               
               
                 A12= 
                 −2.3966E−05 
                  2.4211E−03 
                  4.5939E−03 
                  3.7069E−03 
                 7.0559E−03 
               
               
                 A14= 
                 −1.7587E−05 
                 −9.3555E−04 
                 −1.3272E−03 
                 −8.2446E−04 
                 −1.1892E−03  
               
               
                 A16= 
                 — 
                  1.8684E−04 
                  2.0724E−04 
                  8.3966E−05 
                 1.0793E−04 
               
               
                 A18= 
                 — 
                 −1.4822E−05 
                 −1.3256E−05 
                  9.8172E−08 
                 −4.0438E−06  
               
               
                 A20= 
                 — 
                 — 
                 — 
                 −4.7679E−07 
                 — 
               
               
                   
               
               
                 Surface # 
                 14 
                 15 
                 16 
                 17 
                 18 
               
               
                   
               
               
                 k= 
                 1.2099E+00 
                 −1.0000E+00 
                 −1.1057E+01 
                 −5.3785E+00 
                 −9.9000E+01 
               
               
                 A4= 
                 1.3503E−02 
                 −3.1508E−02 
                 −1.3156E−02 
                 −9.8672E−03 
                  1.2501E−02 
               
               
                 A6= 
                 −4.1093E−02  
                  1.0502E−02 
                 −1.6423E−03 
                 −5.5679E−03 
                 −4.9453E−03 
               
               
                 A8= 
                 3.5740E−02 
                 −3.4360E−03 
                  1.6633E−03 
                  3.3124E−03 
                 −7.4805E−04 
               
               
                 A10= 
                 −1.6966E−02  
                  7.6903E−04 
                 −9.2191E−04 
                 −1.2981E−03 
                  4.4999E−04 
               
               
                 A12= 
                 4.7596E−03 
                 −9.1782E−05 
                  2.6329E−04 
                  3.2753E−04 
                 −6.9115E−05 
               
               
                 A14= 
                 −7.7971E−04  
                 −5.0900E−06 
                 −4.3010E−05 
                 −5.2528E−05 
                  4.6713E−06 
               
               
                 A16= 
                 6.9375E−05 
                  3.9018E−06 
                  3.6930E−06 
                  5.1529E−06 
                 −1.3197E−07 
               
               
                 A18= 
                 −2.6132E−06  
                 −5.0660E−07 
                 −1.2581E−07 
                 −2.7904E−07 
                  1.1947E−09 
               
               
                 A20= 
                 — 
                  2.0882E−08 
                 — 
                  6.3413E−09 
                 −1.8828E−11 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface # 
                 19 
                 20 
                 21 
               
               
                   
                   
               
               
                   
                 k= 
                 −1.0000E+00 
                 −2.6084E+01 
                 −1.0247E+00 
               
               
                   
                 A4= 
                  3.2535E−02 
                 −1.4580E−02 
                 −2.3999E−02 
               
               
                   
                 A6= 
                 −5.2618E−03 
                 −2.6715E−03 
                  2.3427E−03 
               
               
                   
                 A8= 
                 −1.7750E−03 
                  1.0402E−03 
                 −1.1337E−04 
               
               
                   
                 A10= 
                  8.7610E−04 
                 −1.4866E−04 
                 −9.3825E−06 
               
               
                   
                 A12= 
                 −1.6070E−04 
                  1.5796E−05 
                  2.2660E−06 
               
               
                   
                 A14= 
                  1.6046E−05 
                 −1.4502E−06 
                 −2.0007E−07 
               
               
                   
                 A16= 
                 −9.2098E−07 
                  1.0317E−07 
                  9.4070E−09 
               
               
                   
                 A18= 
                  2.8630E−08 
                 −5.0091E−09 
                 −2.1316E−10 
               
               
                   
                 A20= 
                 −3.7436E−10 
                  1.5219E−10 
                  4.3607E−13 
               
               
                   
                 A22= 
                 — 
                 −2.5900E−12 
                  7.2483E−14 
               
               
                   
                 A24= 
                 — 
                  1.8757E−14 
                 −9.8123E−16 
               
               
                   
                   
               
            
           
         
       
     
     In the 9th embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 9th embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from Table 17 and Table 18 as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 9th Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 f [mm] 
                 6.91 
                 TL/ImgH 
                 1.40 
               
               
                   
                 Fno 
                 1.88 
                 TL/[ImgH × tan(CRA)] 
                 2.18 
               
               
                   
                 HFOV [deg.] 
                 40.0 
                 (R15 + R16)/(R15 − R16) 
                 1.17 
               
               
                   
                 FOV [deg.] 
                 80.0 
                 |f/R15| + |f/R16| 
                 1.47 
               
               
                   
                 V1/N1 
                 36.27 
                 |f/R16| + |f/R17| 
                 2.48 
               
               
                   
                 V2/N2 
                 16.09 
                 R18/ImgH 
                 0.70 
               
               
                   
                 V3/N3 
                 12.84 
                 Y92/BL 
                 4.78 
               
               
                   
                 V4/N4 
                 36.23 
                 Yc92/Yc81 
                 1.97 
               
               
                   
                 V5/N5 
                 36.23 
                 MaxET9/ET9 
                 2.00 
               
               
                   
                 V6/N6 
                 10.98 
                 Y_MaxET9/Y92 
                 0.66 
               
               
                   
                 V7/N7 
                 8.21 
                 f/f1 
                 1.24 
               
               
                   
                 V8/N8 
                 16.57 
                 f/f2 
                 −0.52 
               
               
                   
                 V9/N9 
                 16.57 
                 f/f3 
                 −0.11 
               
               
                   
                 V20 
                 2 
                 f/f4 
                 0.11 
               
               
                   
                 V26 
                 4 
                 f/f5 
                 0.65 
               
               
                   
                 V40 
                 6 
                 f/f6 
                 −0.59 
               
               
                   
                 Vmin 
                 14.0 
                 f/f7 
                 0.28 
               
               
                   
                 Td/ΣCT 
                 1.59 
                 f/f8 
                 0.76 
               
               
                   
                 TL/f 
                 1.23 
                 f/f9 
                 −1.72 
               
               
                   
                   
               
            
           
         
       
     
     10th Embodiment 
       FIG.  19    is a schematic view of an image capturing unit according to the 10th embodiment of the present disclosure.  FIG.  20    shows, in order from left to right, spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 10th embodiment. In  FIG.  19   , the image capturing unit includes the imaging optical lens assembly (its reference numeral is omitted) of the present disclosure and an image sensor  1099 . The imaging optical lens assembly includes, in order from an object side to an image side along an optical path, an aperture stop  1000 , a first lens element  1010 , a second lens element  1020 , a third lens element  1030 , a stop  1001 , a fourth lens element  1040 , a stop  1002 , a fifth lens element  1050 , a sixth lens element  1060 , a seventh lens element  1070 , an eighth lens element  1080 , a ninth lens element  1090 , an IR-cut filter  1093  and an image surface  1096 . The imaging optical lens assembly includes nine lens elements ( 1010 ,  1020 ,  1030 ,  1040 ,  1050 ,  1060 ,  1070 ,  1080  and  1090 ) with no additional lens element disposed between each of the adjacent nine lens elements, wherein there is an air gap between each of all adjacent lens elements. 
     The first lens element  1010  with positive refractive power has an object-side surface  1011  being convex in a paraxial region thereof and an image-side surface  1012  being concave in a paraxial region thereof. The first lens element  1010  is made of plastic material and has the object-side surface  1011  and the image-side surface  1012  being both aspheric. 
     The second lens element  1020  with negative refractive power has an object-side surface  1021  being convex in a paraxial region thereof and an image-side surface  1022  being concave in a paraxial region thereof. The second lens element  1020  is made of plastic material and has the object-side surface  1021  and the image-side surface  1022  being both aspheric. 
     The third lens element  1030  with negative refractive power has an object-side surface  1031  being convex in a paraxial region thereof and an image-side surface  1032  being concave in a paraxial region thereof. The third lens element  1030  is made of plastic material and has the object-side surface  1031  and the image-side surface  1032  being both aspheric. 
     The fourth lens element  1040  with positive refractive power has an object-side surface  1041  being concave in a paraxial region thereof and an image-side surface  1042  being convex in a paraxial region thereof. The fourth lens element  1040  is made of plastic material and has the object-side surface  1041  and the image-side surface  1042  being both aspheric. 
     The fifth lens element  1050  with positive refractive power has an object-side surface  1051  being concave in a paraxial region thereof and an image-side surface  1052  being convex in a paraxial region thereof. The fifth lens element  1050  is made of plastic material and has the object-side surface  1051  and the image-side surface  1052  being both aspheric. 
     The sixth lens element  1060  with negative refractive power has an object-side surface  1061  being concave in a paraxial region thereof and an image-side surface  1062  being convex in a paraxial region thereof. The sixth lens element  1060  is made of plastic material and has the object-side surface  1061  and the image-side surface  1062  being both aspheric. 
     The seventh lens element  1070  with positive refractive power has an object-side surface  1071  being convex in a paraxial region thereof and an image-side surface  1072  being concave in a paraxial region thereof. The seventh lens element  1070  is made of plastic material and has the object-side surface  1071  and the image-side surface  1072  being both aspheric. 
     The eighth lens element  1080  with positive refractive power has an object-side surface  1081  being convex in a paraxial region thereof and an image-side surface  1082  being convex in a paraxial region thereof. The eighth lens element  1080  is made of plastic material and has the object-side surface  1081  and the image-side surface  1082  being both aspheric. The object-side surface  1081  of the eighth lens element  1080  has at least one critical point in an off-axis region thereof. 
     The ninth lens element  1090  with negative refractive power has an object-side surface  1091  being concave in a paraxial region thereof and an image-side surface  1092  being concave in a paraxial region thereof. The ninth lens element  1090  is made of plastic material and has the object-side surface  1091  and the image-side surface  1092  being both aspheric. The image-side surface  1092  of the ninth lens element  1090  has at least one convex critical point in an off-axis region thereof. 
     The IR-cut filter  1093  is made of glass material and located between the ninth lens element  1090  and the image surface  1096 , and will not affect the focal length of the imaging optical lens assembly. The image sensor  1099  is disposed on or near the image surface  1096  of the imaging optical lens assembly. 
     The detailed optical data of the 10th embodiment are shown in Table 19 and the aspheric surface data are shown in Table 20 below. 
     
       
         
           
               
             
               
                 TABLE 19 
               
             
            
               
                   
               
               
                 10th Embodiment 
               
               
                 f = 6.95 mm, Fno = 1.90, HFOV = 39.5 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
               
                 1 
                 Ape. Stop 
                 Plano 
                 −0.687 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 2 
                 Lens 1 
                 2.798 
                 (ASP) 
                 0.980 
                 Plastic 
                 1.545 
                 56.1 
                 5.49 
               
               
                 3 
                   
                 38.155 
                 (ASP) 
                 0.051 
                   
                   
                   
                   
               
               
                 4 
                 Lens 2 
                 9.661 
                 (ASP) 
                 0.325 
                 Plastic 
                 1.634 
                 23.8 
                 −11.92 
               
               
                 5 
                   
                 4.186 
                 (ASP) 
                 0.465 
                   
                   
                   
                   
               
               
                 6 
                 Lens 3 
                 13.008 
                 (ASP) 
                 0.250 
                 Plastic 
                 1.634 
                 23.8 
                 −56.17 
               
               
                 7 
                   
                 9.457 
                 (ASP) 
                 0.146 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 8 
                 Stop 
                 Plano 
                 0.124 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 9 
                 Lens 4 
                 −160.829 
                 (ASP) 
                 0.559 
                 Plastic 
                 1.544 
                 56.0 
                 40.80 
               
               
                 10 
                   
                 −19.531 
                 (ASP) 
                 −0.232 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 11 
                 Stop 
                 Plano 
                 0.417 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 12 
                 Lens 5 
                 −87.174 
                 (ASP) 
                 0.530 
                 Plastic 
                 1.544 
                 56.0 
                 10.67 
               
               
                 13 
                   
                 −5.452 
                 (ASP) 
                 0.040 
                   
                   
                   
                   
               
               
                 14 
                 Lens 6 
                 −6.753 
                 (ASP) 
                 0.360 
                 Plastic 
                 1.639 
                 23.5 
                 −12.07 
               
               
                 15 
                   
                 −55.496 
                 (ASP) 
                 0.582 
                   
                   
                   
                   
               
               
                 16 
                 Lens 7 
                 5.700 
                 (ASP) 
                 0.467 
                 Plastic 
                 1.669 
                 19.5 
                 27.56 
               
               
                 17 
                   
                 7.981 
                 (ASP) 
                 0.435 
                   
                   
                   
                   
               
               
                 18 
                 Lens 8 
                 42.012 
                 (ASP) 
                 0.544 
                 Plastic 
                 1.583 
                 30.2 
                 9.26 
               
               
                 19 
                   
                 −6.161 
                 (ASP) 
                 0.708 
                   
                   
                   
                   
               
               
                 20 
                 Lens 9 
                 −5.807 
                 (ASP) 
                 0.719 
                 Plastic 
                 1.583 
                 30.2 
                 −3.99 
               
               
                 21 
                   
                 4.058 
                 (ASP) 
                 0.600 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 22 
                 IR-cut filter 
                 Plano 
                 0.210 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 23 
                   
                 Plano 
                 0.221 
                   
                   
                   
                   
               
               
                 24 
                 Image 
                 Plano 
                 0.000 
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
               
                 An effective radius of the stop 1001 (Surface 8) is 1.700 mm. 
               
               
                 An effective radius of the stop 1002 (Surface 11) is 1.880 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 20 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k= 
                 −6.6400E−01 
                 −9.8871E+01 
                 −4.9918E+00  
                 1.6727E+00 
                 −4.9062E−01 
               
               
                 A4= 
                  4.7045E−03 
                  6.3619E−04 
                 −5.9798E−03  
                 −9.1343E−03  
                 −1.9034E−02 
               
               
                 A6= 
                  1.0143E−03 
                  1.5075E−03 
                 3.7937E−03 
                 2.8227E−03 
                 −1.8819E−03 
               
               
                 A8= 
                 −6.7722E−04 
                 −1.0022E−03 
                 −6.0774E−04  
                 −1.0701E−04  
                  1.2069E−03 
               
               
                 A10= 
                  5.5329E−04 
                  4.6922E−04 
                 1.1223E−04 
                 3.0061E−04 
                  5.9344E−04 
               
               
                 A12= 
                 −2.4377E−04 
                 −1.7732E−04 
                 1.9076E−06 
                 −9.1259E−05  
                 −1.9503E−04 
               
               
                 A14= 
                  5.6436E−05 
                  3.9110E−05 
                 3.2693E−07 
                 3.1300E−05 
                  1.0102E−05 
               
               
                 A16= 
                 −5.8131E−06 
                 −3.9791E−06 
                 — 
                 — 
                 — 
               
               
                   
               
               
                 Surface # 
                 7 
                 9 
                 10 
                 12 
                 13 
               
               
                   
               
               
                 k= 
                 1.4821E+01 
                 −1.0000E+00 
                  5.9415E+01 
                 −1.0000E+00 
                  3.8796E+00 
               
               
                 A4= 
                 −1.7052E−02  
                 −7.4775E−03 
                 −1.7726E−02 
                 −1.7212E−02 
                  3.3209E−02 
               
               
                 A6= 
                 −1.4916E−03  
                 −1.2034E−03 
                 −5.6439E−03 
                 −1.2738E−02 
                 −5.5131E−02 
               
               
                 A8= 
                 9.8084E−04 
                  1.7483E−04 
                  6.8535E−03 
                  8.0921E−03 
                  3.7938E−02 
               
               
                 A10= 
                 9.0014E−04 
                 −9.8039E−04 
                 −5.5846E−03 
                 −3.6300E−03 
                 −1.5781E−02 
               
               
                 A12= 
                 −2.4969E−04  
                  1.0844E−03 
                  2.7567E−03 
                  6.2287E−04 
                  3.8698E−03 
               
               
                 A14= 
                 1.0721E−05 
                 −4.5207E−04 
                 −7.6414E−04 
                  2.9698E−04 
                 −4.5460E−04 
               
               
                 A16= 
                 — 
                  9.0070E−05 
                  1.1185E−04 
                 −1.7031E−04 
                 −2.5758E−06 
               
               
                 A18= 
                 — 
                 −6.7487E−06 
                 −6.5707E−06 
                  3.1901E−05 
                  6.0046E−06 
               
               
                 A20= 
                 — 
                 — 
                 — 
                 −2.1383E−06 
                 −4.1743E−07 
               
               
                   
               
               
                 Surface # 
                 14 
                 15 
                 16 
                 17 
                 18 
               
               
                   
               
               
                 k= 
                  1.1589E+00 
                 −1.0000E+00 
                 −9.1401E+00 
                 −3.9951E+00 
                 −1.0000E+00 
               
               
                 A4= 
                  1.0125E−02 
                 −3.1368E−02 
                 −1.2311E−02 
                 −9.0099E−03 
                  1.4436E−02 
               
               
                 A6= 
                 −3.1668E−02 
                  1.0766E−02 
                 −1.4882E−03 
                 −6.2642E−03 
                 −9.5985E−03 
               
               
                 A8= 
                  2.4814E−02 
                 −4.5202E−03 
                  1.5973E−03 
                  3.6247E−03 
                  1.5984E−03 
               
               
                 A10= 
                 −1.0222E−02 
                  1.6753E−03 
                 −9.9906E−04 
                 −1.4213E−03 
                 −2.9240E−04 
               
               
                 A12= 
                  2.3188E−03 
                 −4.7911E−04 
                  3.3216E−04 
                  3.6518E−04 
                  9.6058E−05 
               
               
                 A14= 
                 −2.4218E−04 
                  9.0500E−05 
                 −6.7548E−05 
                 −5.9823E−05 
                 −2.0486E−05 
               
               
                 A16= 
                 −2.0329E−06 
                 −9.7680E−06 
                  8.4535E−06 
                  5.9867E−06 
                  2.3646E−06 
               
               
                 A18= 
                  2.6902E−06 
                  5.4402E−07 
                 −6.5777E−07 
                 −3.3242E−07 
                 −1.5219E−07 
               
               
                 A20= 
                 −1.7053E−07 
                 −1.2918E−08 
                  3.4208E−08 
                  8.0403E−09 
                  5.4662E−09 
               
               
                 A22= 
                 — 
                 — 
                 −1.2164E−09 
                 −2.1215E−11 
                 −1.0872E−10 
               
               
                 A24= 
                 — 
                 — 
                  2.0121E−11 
                  2.1319E−13 
                  1.2260E−12 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface # 
                 19 
                 20 
                 21 
               
               
                   
                   
               
               
                   
                 k= 
                 −1.0000E+00 
                 −2.2133E+01 
                 −1.0000E+00 
               
               
                   
                 A4= 
                  3.5134E−02 
                 −2.1407E−02 
                 −3.0787E−02 
               
               
                   
                 A6= 
                 −8.4824E−03 
                  2.1159E−03 
                  5.5685E−03 
               
               
                   
                 A8= 
                 −4.5745E−04 
                 −5.7986E−04 
                 −9.3214E−04 
               
               
                   
                 A10= 
                  5.6348E−04 
                  1.8076E−04 
                  1.2087E−04 
               
               
                   
                 A12= 
                 −1.1364E−04 
                 −2.6925E−05 
                 −1.1463E−05 
               
               
                   
                 A14= 
                  1.1399E−05 
                  2.1823E−06 
                  7.8601E−07 
               
               
                   
                 A16= 
                 −6.1913E−07 
                 −1.0001E−07 
                 −3.9182E−08 
               
               
                   
                 A18= 
                  1.5981E−08 
                  2.2925E−09 
                  1.4078E−09 
               
               
                   
                 A20= 
                 −4.3130E−11 
                 −6.0557E−12 
                 −3.4645E−11 
               
               
                   
                 A22= 
                 −5.2559E−12 
                 −8.0063E−13 
                  5.1743E−13 
               
               
                   
                 A24= 
                  4.5775E−14 
                  1.1693E−14 
                 −3.4888E−15 
               
               
                   
                   
               
            
           
         
       
     
     In the 10th embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 10th embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from Table 19 and Table 20 as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 10th Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 f [mm] 
                 6.95 
                 TL/ImgH 
                 1.41 
               
               
                   
                 Fno 
                 1.90 
                 TL/[ImgH × tan(CRA)] 
                 1.73 
               
               
                   
                 HFOV [deg.] 
                 39.5 
                 (R15 + R16)/(R15 − R16) 
                 0.74 
               
               
                   
                 FOV [deg.] 
                 79.0 
                 |f/R15| + |f/R16| 
                 1.29 
               
               
                   
                 V1/N1 
                 36.30 
                 |f/R16| + |f/R17| 
                 2.32 
               
               
                   
                 V2/N2 
                 14.59 
                 R18/ImgH 
                 0.67 
               
               
                   
                 V3/N3 
                 14.59 
                 Y92/BL 
                 4.71 
               
               
                   
                 V4/N4 
                 36.26 
                 Yc92/Yc81 
                 1.61 
               
               
                   
                 V5/N5 
                 36.26 
                 MaxET9/ET9 
                 1.50 
               
               
                   
                 V6/N6 
                 14.34 
                 Y_MaxET9/Y92 
                 0.67 
               
               
                   
                 V7/N7 
                 11.65 
                 f/f1 
                 1.27 
               
               
                   
                 V8/N8 
                 19.11 
                 f/f2 
                 −0.58 
               
               
                   
                 V9/N9 
                 19.11 
                 f/f3 
                 −0.12 
               
               
                   
                 V20 
                 1 
                 f/f4 
                 0.17 
               
               
                   
                 V26 
                 4 
                 f/f5 
                 0.65 
               
               
                   
                 V40 
                 6 
                 f/f6 
                 −0.58 
               
               
                   
                 Vmin 
                 19.5 
                 f/f7 
                 0.25 
               
               
                   
                 Td/ΣCT 
                 1.58 
                 f/f8 
                 0.75 
               
               
                   
                 TL/f 
                 1.22 
                 f/f9 
                 −1.74 
               
               
                   
                   
               
            
           
         
       
     
     11th Embodiment 
       FIG.  21    is a schematic view of an image capturing unit according to the 11th embodiment of the present disclosure.  FIG.  22    shows, in order from left to right, spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing unit according to the 11th embodiment. In  FIG.  21   , the image capturing unit includes the imaging optical lens assembly (its reference numeral is omitted) of the present disclosure and an image sensor  1199 . The imaging optical lens assembly includes, in order from an object side to an image side along an optical path, a first lens element  1110 , a second lens element  1120 , an aperture stop  1100 , a third lens element  1130 , a fourth lens element  1140 , a fifth lens element  1150 , a sixth lens element  1160 , a seventh lens element  1170 , an eighth lens element  1180 , a ninth lens element  1190 , an IR-cut filter  1193  and an image surface  1196 . The imaging optical lens assembly includes nine lens elements ( 1110 ,  1120 ,  1130 ,  1140 ,  1150 ,  1160 ,  1170 ,  1180  and  1190 ) with no additional lens element disposed between each of the adjacent nine lens elements, wherein there is an air gap between each of all adjacent lens elements. 
     The first lens element  1110  with negative refractive power has an object-side surface  1111  being convex in a paraxial region thereof and an image-side surface  1112  being concave in a paraxial region thereof. The first lens element  1110  is made of plastic material and has the object-side surface  1111  and the image-side surface  1112  being both aspheric. 
     The second lens element  1120  with positive refractive power has an object-side surface  1121  being convex in a paraxial region thereof and an image-side surface  1122  being concave in a paraxial region thereof. The second lens element  1120  is made of plastic material and has the object-side surface  1121  and the image-side surface  1122  being both aspheric. 
     The third lens element  1130  with negative refractive power has an object-side surface  1131  being convex in a paraxial region thereof and an image-side surface  1132  being concave in a paraxial region thereof. The third lens element  1130  is made of plastic material and has the object-side surface  1131  and the image-side surface  1132  being both aspheric. 
     The fourth lens element  1140  with positive refractive power has an object-side surface  1141  being concave in a paraxial region thereof and an image-side surface  1142  being convex in a paraxial region thereof. The fourth lens element  1140  is made of plastic material and has the object-side surface  1141  and the image-side surface  1142  being both aspheric. 
     The fifth lens element  1150  with positive refractive power has an object-side surface  1151  being concave in a paraxial region thereof and an image-side surface  1152  being convex in a paraxial region thereof. The fifth lens element  1150  is made of plastic material and has the object-side surface  1151  and the image-side surface  1152  being both aspheric. 
     The sixth lens element  1160  with negative refractive power has an object-side surface  1161  being concave in a paraxial region thereof and an image-side surface  1162  being concave in a paraxial region thereof. The sixth lens element  1160  is made of plastic material and has the object-side surface  1161  and the image-side surface  1162  being both aspheric. 
     The seventh lens element  1170  with positive refractive power has an object-side surface  1171  being concave in a paraxial region thereof and an image-side surface  1172  being convex in a paraxial region thereof. The seventh lens element  1170  is made of plastic material and has the object-side surface  1171  and the image-side surface  1172  being both aspheric. 
     The eighth lens element  1180  with positive refractive power has an object-side surface  1181  being concave in a paraxial region thereof and an image-side surface  1182  being convex in a paraxial region thereof. The eighth lens element  1180  is made of plastic material and has the object-side surface  1181  and the image-side surface  1182  being both aspheric. The object-side surface  1181  of the eighth lens element  1180  has at least one critical point in an off-axis region thereof. The image-side surface  1182  of the eighth lens element  1180  has at least one critical point in an off-axis region thereof. 
     The ninth lens element  1190  with negative refractive power has an object-side surface  1191  being convex in a paraxial region thereof and an image-side surface  1192  being concave in a paraxial region thereof. The ninth lens element  1190  is made of plastic material and has the object-side surface  1191  and the image-side surface  1192  being both aspheric. The image-side surface  1192  of the ninth lens element  1190  has at least one convex critical point in an off-axis region thereof. 
     The IR-cut filter  1193  is made of glass material and located between the ninth lens element  1190  and the image surface  1196 , and will not affect the focal length of the imaging optical lens assembly. The image sensor  1199  is disposed on or near the image surface  1196  of the imaging optical lens assembly. 
     The detailed optical data of the 11th embodiment are shown in Table 21 and the aspheric surface data are shown in Table 22 below. 
     
       
         
           
               
             
               
                 TABLE 21 
               
             
            
               
                   
               
               
                 11th Embodiment 
               
               
                 f = 4.91 mm, Fno = 2.01, HFOV = 45.1 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 1 
                 Lens 1 
                 16.974 
                 (ASP) 
                 0.490 
                 Plastic 
                 1.639 
                 23.5 
                 −26.65 
               
               
                 2 
                   
                 8.403 
                 (ASP) 
                 0.030 
                   
                   
                   
                   
               
               
                 3 
                 Lens 2 
                 2.054 
                 (ASP) 
                 0.650 
                 Plastic 
                 1.566 
                 37.4 
                 8.90 
               
               
                 4 
                   
                 3.071 
                 (ASP) 
                 0.282 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 5 
                 Ape. Stop 
                 Plano 
                 0.106 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 6 
                 Lens 3 
                 10.118 
                 (ASP) 
                 0.250 
                 Plastic 
                 1.607 
                 26.6 
                 −55.53 
               
               
                 7 
                   
                 7.710 
                 (ASP) 
                 0.096 
                   
                   
                   
                   
               
               
                 8 
                 Lens 4 
                 −36.039 
                 (ASP) 
                 0.786 
                 Plastic 
                 1.544 
                 56.0 
                 4.29 
               
               
                 9 
                   
                 −2.210 
                 (ASP) 
                 0.030 
                   
                   
                   
                   
               
               
                 10 
                 Lens 5 
                 −14.198 
                 (ASP) 
                 0.355 
                 Plastic 
                 1.639 
                 23.5 
                 26.67 
               
               
                 11 
                   
                 −7.818 
                 (ASP) 
                 0.052 
                   
                   
                   
                   
               
               
                 12 
                 Lens 6 
                 −16.996 
                 (ASP) 
                 0.282 
                 Plastic 
                 1.669 
                 19.5 
                 −6.97 
               
               
                 13 
                   
                 6.464 
                 (ASP) 
                 0.857 
                   
                   
                   
                   
               
               
                 14 
                 Lens 7 
                 −4.637 
                 (ASP) 
                 0.371 
                 Plastic 
                 1.705 
                 14.0 
                 271.49 
               
               
                 15 
                   
                 −4.677 
                 (ASP) 
                 0.126 
                   
                   
                   
                   
               
               
                 16 
                 Lens 8 
                 −3.622 
                 (ASP) 
                 1.042 
                 Plastic 
                 1.559 
                 40.4 
                 2.33 
               
               
                 17 
                   
                 −1.056 
                 (ASP) 
                 0.177 
                   
                   
                   
                   
               
               
                 18 
                 Lens 9 
                 9.722 
                 (ASP) 
                 0.602 
                 Plastic 
                 1.639 
                 23.5 
                 −2.10 
               
               
                 19 
                   
                 1.148 
                 (ASP) 
                 1.000 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 20 
                 IR-cut filter 
                 Plano 
                 0.210 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 21 
                   
                 Plano 
                 0.264 
                   
                   
                   
                   
               
               
                 22 
                 Image 
                 Plano 
                 0.000 
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
               
                 An effective radius of the object-side surface 1141 (Surface 8) is 1.300 mm. 
               
               
                 An effective radius of the image-side surface 1162 (Surface 13) is 2.000 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 22 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface # 
                 1 
                 2 
                 3 
                 4 
                 6 
               
               
                   
               
               
                 k= 
                  3.5774E+01 
                 2.3181E+01 
                  2.1341E−01 
                 −7.4643E+00 
                  0.0000E+00 
               
               
                 A4= 
                  4.0601E−02 
                 5.8646E−02 
                 −2.7128E−03 
                  5.4480E−03 
                 −3.9646E−02 
               
               
                 A6= 
                 −1.1707E−02 
                 −4.9023E−02  
                 −3.8213E−02 
                 −2.9464E−03 
                 −1.2490E−02 
               
               
                 A8= 
                  5.3660E−03 
                 7.0804E−02 
                  5.9916E−02 
                 −1.0440E−02 
                 −9.8735E−04 
               
               
                 A10= 
                 −1.2089E−03 
                 −6.6766E−02  
                 −4.8482E−02 
                  4.9934E−02 
                 −8.7028E−04 
               
               
                 A12= 
                 −1.3820E−04 
                 4.4323E−02 
                  2.1379E−02 
                 −1.1255E−01 
                  1.4471E−03 
               
               
                 A14= 
                  2.0408E−04 
                 −1.9986E−02  
                 −3.9351E−03 
                  1.4263E−01 
                 −1.3207E−03 
               
               
                 A16= 
                 −6.2267E−05 
                 5.9429E−03 
                 — 
                 −1.0219E−01 
                 — 
               
               
                 A18= 
                  8.3542E−06 
                 −1.0227E−03  
                 — 
                  3.8320E−02 
                 — 
               
               
                 A20= 
                 −4.2796E−07 
                 6.8562E−05 
                 — 
                 −5.8739E−03 
                 — 
               
               
                   
               
               
                 Surface # 
                 7 
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 k= 
                  0.0000E+00 
                 −1.0000E+00 
                 −7.6400E+00 
                  3.6668E+01 
                 2.0145E+01 
               
               
                 A4= 
                 −1.9417E−02 
                 −9.0353E−04 
                 −1.1135E−01 
                 −2.9516E−02 
                 1.0278E−01 
               
               
                 A6= 
                 −1.1486E−03 
                  6.1162E−03 
                  5.9761E−02 
                 −5.7901E−02 
                 −2.7114E−01  
               
               
                 A8= 
                 −1.3672E−02 
                 −6.3434E−03 
                 −2.1571E−02 
                  8.9447E−02 
                 2.6279E−01 
               
               
                 A10= 
                  1.2746E−02 
                 −3.6766E−03 
                 −1.4156E−02 
                 −9.9620E−02 
                 −1.6230E−01  
               
               
                 A12= 
                 −5.3040E−03 
                  6.0278E−03 
                  1.8112E−02 
                  6.0446E−02 
                 6.3451E−02 
               
               
                 A14= 
                  1.0533E−03 
                 −1.3616E−03 
                 −7.3213E−03 
                 −1.9817E−02 
                 −1.4604E−02  
               
               
                 A16= 
                 — 
                 — 
                  1.1867E−03 
                  2.7109E−03 
                 1.5261E−03 
               
               
                   
               
               
                 Surface # 
                 12 
                 13 
                 14 
                 15 
                 16 
               
               
                   
               
               
                 k= 
                 3.8252E+01 
                  5.0512E+00 
                 −4.9734E+00 
                  0.0000E+00 
                 −3.5211E−02 
               
               
                 A4= 
                 6.2669E−02 
                 −5.0299E−02 
                 −1.7701E−02 
                 −5.6697E−02 
                 −1.1450E−01 
               
               
                 A6= 
                 −1.7500E−01  
                  2.1301E−02 
                  1.8344E−02 
                  9.6587E−02 
                  1.4531E−01 
               
               
                 A8= 
                 1.5958E−01 
                 −1.5155E−02 
                 −4.0442E−02 
                 −9.8387E−02 
                 −1.1528E−01 
               
               
                 A10= 
                 −7.8256E−02  
                  1.3296E−02 
                  3.3423E−02 
                  5.6419E−02 
                  5.8452E−02 
               
               
                 A12= 
                 2.1693E−02 
                 −8.6896E−03 
                 −1.5740E−02 
                 −2.0293E−02 
                 −1.8825E−02 
               
               
                 A14= 
                 −3.1440E−03  
                  3.4453E−03 
                  4.4559E−03 
                  4.6899E−03 
                  3.8351E−03 
               
               
                 A16= 
                 1.8463E−04 
                 −8.0673E−04 
                 −7.0166E−04 
                 −6.7120E−04 
                 −4.7726E−04 
               
               
                 A18= 
                 — 
                  1.0276E−04 
                  4.6659E−05 
                  5.3892E−05 
                  3.3062E−05 
               
               
                 A20= 
                 — 
                 −5.4031E−06 
                 — 
                 −1.8524E−06 
                 −9.7687E−07 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface # 
                 17 
                 18 
                 19 
               
               
                   
                   
               
               
                   
                 k= 
                 −3.7044E+00 
                 9.1826E−01 
                 −5.3302E+00 
               
               
                   
                 A4= 
                 −9.2335E−02 
                 −2.5802E−02  
                 −2.2012E−02 
               
               
                   
                 A6= 
                  6.0704E−02 
                 5.6123E−03 
                  6.6653E−03 
               
               
                   
                 A8= 
                 −3.4952E−02 
                 −1.3075E−03  
                 −1.7253E−03 
               
               
                   
                 A10= 
                  1.4752E−02 
                 2.0160E−04 
                  3.2452E−04 
               
               
                   
                 A12= 
                 −3.9687E−03 
                 −1.7702E−05  
                 −4.3579E−05 
               
               
                   
                 A14= 
                  6.6967E−04 
                 7.6153E−07 
                  4.1415E−06 
               
               
                   
                 A16= 
                 −6.8968E−05 
                 1.5250E−09 
                 −2.7602E−07 
               
               
                   
                 A18= 
                  3.9704E−06 
                 −1.8774E−09  
                  1.2607E−08 
               
               
                   
                 A20= 
                 −9.8077E−08 
                 9.3004E−11 
                 −3.7534E−10 
               
               
                   
                 A22= 
                 — 
                 −2.0296E−12  
                  6.5490E−12 
               
               
                   
                 A24= 
                 — 
                 1.7462E−14 
                 −5.0647E−14 
               
               
                   
                   
               
            
           
         
       
     
     In the 11th embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 11th embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from Table  21  and Table  22  as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 11th Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 f [mm] 
                 4.91 
                 TL/ImgH 
                 1.55 
               
               
                   
                 Fno 
                 2.01 
                 TL/[ImgH × tan(CRA)] 
                 2.64 
               
               
                   
                 HFOV [deg.] 
                 45.1 
                 (R15 + R16)/(R15 − R16) 
                 1.82 
               
               
                   
                 FOV [deg.] 
                 90.2 
                 |f/R15| + |f/R16| 
                 6.01 
               
               
                   
                 V1/N1 
                 14.34 
                 |f/R16| + |f/R17| 
                 5.16 
               
               
                   
                 V2/N2 
                 23.91 
                 R18/ImgH 
                 0.22 
               
               
                   
                 V3/N3 
                 16.57 
                 Y92/BL 
                 3.03 
               
               
                   
                 V4/N4 
                 36.26 
                 Yc92/Yc81 
                 1.15 
               
               
                   
                 V5/N5 
                 14.34 
                 MaxET9/ET9 
                 1.58 
               
               
                   
                 V6/N6 
                 11.65 
                 Y_MaxET9/Y92 
                 0.75 
               
               
                   
                 V7/N7 
                 8.21 
                 f/f1 
                 −0.18 
               
               
                   
                 V8/N8 
                 25.95 
                 f/f2 
                 0.55 
               
               
                   
                 V9/N9 
                 14.34 
                 f/f3 
                 −0.09 
               
               
                   
                 V20 
                 2 
                 f/f4 
                 1.14 
               
               
                   
                 V26 
                 4 
                 f/f5 
                 0.18 
               
               
                   
                 V40 
                 6 
                 f/f6 
                 −0.70 
               
               
                   
                 Vmin 
                 14.0 
                 f/f7 
                 0.02 
               
               
                   
                 Td/ΣCT 
                 1.36 
                 f/f8 
                 2.11 
               
               
                   
                 TL/f 
                 1.64 
                 f/f9 
                 −2.34 
               
               
                   
                   
               
            
           
         
       
     
     12th Embodiment 
       FIG.  23    is a perspective view of an image capturing unit according to the 12th embodiment of the present disclosure. In this embodiment, an image capturing unit  10  is a camera module including a lens unit  11 , a driving device  12 , an image sensor  13  and an image stabilizer  14 . The lens unit  11  includes the imaging optical lens assembly disclosed in the 1st embodiment, a barrel and a holder member (their reference numerals are omitted) for holding the imaging optical lens assembly. However, the lens unit  11  may alternatively be provided with the imaging optical lens assembly disclosed in other embodiments, the present disclosure is not limited thereto. The imaging light converges in the lens unit  11  of the image capturing unit  10  to generate an image with the driving device  12  utilized for image focusing on the image sensor  13 , and the generated image is then digitally transmitted to other electronic component for further processing. 
     The driving device  12  can have auto focusing functionality, and different driving configurations can be obtained through the usages of voice coil motors (VCM), micro electro-mechanical systems (MEMS), piezoelectric systems, or shape memory alloy materials. The driving device  12  is favorable for obtaining a better imaging position of the lens unit  11 , so that a clear image of the imaged object can be captured by the lens unit  11  with different object distances. The image sensor  13  (for example, CCD or CMOS), which can feature high photosensitivity and low noise, is disposed on the image surface of the imaging optical lens assembly to provide higher image quality. 
     The image stabilizer  14 , such as an accelerometer, a gyro sensor and a Hall Effect sensor, is configured to work with the driving device  12  to provide optical image stabilization (OIS). The driving device  12  working with the image stabilizer  14  is favorable for compensating for pan and tilt of the lens unit  11  to reduce blurring associated with motion during exposure. In some cases, the compensation can be provided by electronic image stabilization (EIS) with image processing software, thereby improving image quality while in motion or low-light conditions. 
     13th Embodiment 
       FIG.  24    is a perspective view of an electronic device according to the 13th embodiment of the present disclosure. 
     In this embodiment, an electronic device  20  is a smartphone including an image capturing unit  10   a , an image capturing unit  10   b  and a display unit  21 , wherein the image capturing unit  10   a  includes the imaging optical lens assembly disclosed in the 2nd embodiment. In  FIG.  24   , the image capturing units  10   a ,  10   b  and the display unit  21  are disposed on the same side of the electronic device  20 , such that the image capturing units  10   a  and  10   b  can be front-facing cameras of the electronic device  20  for taking selfies, but the present disclosure is not limited thereto. 
     The image capturing unit  10   a  is a standard image capturing unit, and the image capturing unit  10   b  is a ToF (time of flight) image capturing unit, wherein the image capturing unit  10   b  can determine depth information of the imaged object. In this embodiment, the electronic device  20  includes multiple image capturing units  10   a  and  10   b , but the present disclosure is not limited to the number and arrangement of image capturing units. 
     14th Embodiment 
       FIG.  25    is a perspective view of an electronic device according to the 14th embodiment of the present disclosure. 
     In this embodiment, an electronic device  30  is a smartphone including the image capturing unit  10  disclosed in the 12th embodiment, an image capturing unit  10   c , an image capturing unit  10   d  and a display unit (not shown in the figure), wherein the image capturing unit  10   c  includes the imaging optical lens assembly disclosed in the 9th embodiment. In  FIG.  25   , the image capturing units  10 ,  10   c  and  10   d  are disposed on the same side of the electronic device  30 , and the display unit is disposed on another side of the electronic device  30 . 
     The image capturing unit  10  is a wide-angle image capturing unit, the image capturing unit  10   c  is a standard image capturing unit, and the image capturing unit  10   d  is a telephoto image capturing unit. In this embodiment, the image capturing units  10 ,  10   c  and  10   d  have different fields of view, wherein the maximum fields of view of each two of the image capturing units  10 ,  10   c , and  10   d  can differ by at least 20 degrees. As such, the electronic device  30  has various magnification ratios so as to meet the requirement of optical zoom functionality. Moreover, the maximum fields of view of each two of the image capturing units  10 ,  10   c  and  10   d  can differ by at least 30 degrees. Moreover, the maximum fields of view of each two of the image capturing units  10 ,  10   c  and  10   d  can differ by at least 40 degrees. Moreover, the maximum fields of view of each two of the image capturing units  10 ,  10   c  and  10   d  can differ by at least 60 degrees. Moreover, the maximum field of view of the image capturing unit  10  is 122.4 degrees, the maximum field of view of the image capturing unit  10   c  is 80.0 degrees, and the maximum field of view of the image capturing unit  10   d  can range between  15  and  45  degrees. The electronic device  30  includes multiple image capturing units  10 ,  10   c  and  10   d , but the present disclosure is not limited to the number and arrangement of image capturing units. 
     15th Embodiment 
       FIG.  26    is a perspective view of an electronic device according to the 15th embodiment of the present disclosure. 
     In this embodiment, an electronic device  40  is a smartphone including the image capturing unit  10  disclosed in the 12th embodiment, an image capturing unit  10   e , an image capturing unit  10   e ′ and a display unit (not shown in the figure), wherein the image capturing unit  10   e  includes the imaging optical lens assembly disclosed in the 9th embodiment. In  FIG.  26    and the image capturing unit  10   e ′ includes the imaging optical lens assembly disclosed in the 2nd embodiment, the image capturing units  10 ,  10   e  and  10   e ′ are disposed on the same side of the electronic device  40 , and the display unit is disposed on another side of the electronic device  40 . 
     The image capturing unit  10  is a wide-angle image capturing unit, the image capturing unit  10   e  is a telephoto image capturing unit, and the image capturing unit  10   e ′ is an ultra-wide-angle image capturing unit. In this embodiment, the image capturing units  10 ,  10   e  and  10   e ′ have different fields of view, wherein the maximum field of view of the image capturing unit  10  and the maximum field of view of the image capturing unit  10   e  can differ by at least 20 degrees. As such, the electronic device  40  has various magnification ratios so as to meet the requirement of optical zoom functionality. Moreover, the maximum fields of view of the image capturing units  10  and  10   e  can differ by at least 30 degrees. Moreover, the maximum fields of view of the image capturing units  10  and  10   e  can differ by at least 40 degrees. Specifically, the maximum field of view of the image capturing unit  10  is  122 . 4  degrees, the maximum field of view of the image capturing unit  10   e  is 80.0 degrees, and the maximum field of view of the image capturing unit  10  and the maximum field of view of the image capturing unit  10   e  differs by 42.4 degrees. The electronic device  40  includes multiple image capturing units  10 ,  10   e  and  10   e ′, but the present disclosure is not limited to the number and arrangement of image capturing units. 
     16th Embodiment 
       FIG.  27    is a perspective view of an electronic device according to the 16th embodiment of the present disclosure. 
     In this embodiment, an electronic device  50  is a smartphone including an image capturing unit  10   f , an image capturing unit  10   g , an image capturing unit  10   h , an image capturing unit  10   i , an image capturing unit  10   j , an image capturing unit  10   k , an image capturing unit  10   m , an image capturing unit  10   n  and a display unit (not shown in the figure), wherein the image capturing unit  10   h  or  10   i  includes the imaging optical lens assembly disclosed in the 7th embodiment. The image capturing units  10   f ,  10   g ,  10   h ,  10   i ,  10   j ,  10   k ,  10   m ,  10   n  are disposed on the same side of the electronic device  50 , and the display unit is disposed on another side of the electronic device  50 . 
     The image capturing units  10   f  and  1  Og are ultra-wide-angle image capturing units, the image capturing units  10   h ,  10   i  are wide-angle image capturing units, the image capturing units  10   j ,  10   k  are telephoto image capturing units, and the image capturing units  10   m ,  10   n  are telephoto image capturing units configured with light-folding element(s). The image capturing units  10   m ,  10   n  with light-folding element(s) may respectively have a configuration, for example, similar to that as shown in  FIG.  31   ,  FIG.  32    or  FIG.  33   , and a description in this regard will not be provided again. In this embodiment, the image capturing units  10   f ,  10   g ,  10   h ,  10   i ,  10   j ,  10   k ,  10   m ,  10   n  have different fields of view, such that the electronic device  50  has various magnification ratios so as to meet the requirement of optical zoom functionality. The electronic device  50  includes multiple image capturing units  10   f ,  10   g ,  10   h ,  10   i ,  10   j ,  10   k ,  10   m ,  10   n , but the present disclosure is not limited to the number and arrangement of image capturing units. 
     The smartphone in this embodiment is only exemplary for showing the image capturing units  10 ,  10   a ,  10   c  and  10   e  of the present disclosure installed in an electronic device, and the present disclosure is not limited thereto. The image capturing units  10 ,  10   a ,  10   c  and  10   e  can be optionally applied to optical systems with a movable focus. Furthermore, the imaging optical lens assembly of the image capturing units  10 ,  10   a ,  10   c  and  10   e  feature good capability in aberration corrections and high image quality, and can be applied to 3D (three-dimensional) image capturing applications, in products such as digital cameras, mobile devices, digital tablets, smart televisions, network surveillance devices, dashboard cameras, vehicle backup cameras, multi-camera devices, image recognition systems, motion sensing input devices, wearable devices and other electronic imaging devices. 
     The foregoing description, for the purpose of explanation, has been described with reference to specific embodiments. It is to be noted that TABLES 1-22 show different data of the different embodiments; however, the data of the different embodiments are obtained from experiments. The embodiments were chosen and described in order to best explain the principles of the disclosure and its practical applications, to thereby enable others skilled in the art to best utilize the disclosure and various embodiments with various modifications as are suited to the particular use contemplated. The embodiments depicted above and the appended drawings are exemplary and are not intended to be exhaustive or to limit the scope of the present disclosure to the precise forms disclosed. Many modifications and variations are possible in view of the above teachings.