Patent Publication Number: US-9835828-B2

Title: Optical image capturing system

Description:
The current application claims a foreign priority to application number 104120754 filed on Jun. 26, 2015 in Taiwan. 
     BACKGROUND OF THE INVENTION 
     1. Technical Field 
     The present invention relates generally to an optical system, and more particularly to a compact optical image capturing system for an electronic device. 
     2. Description of Related Art 
     In recent years, with the rise of portable electronic devices having camera functionalities, the demand for an optical image capturing system is raised gradually. The image sensing device of the ordinary photographing camera is commonly selected from charge coupled device (CCD) or complementary metal-oxide semiconductor sensor (CMOS Sensor). In addition, as advanced semiconductor manufacturing technology enables the minimization of the pixel size of the image sensing device, the development of the optical image capturing system towards the field of high pixels. Therefore, the requirement for high imaging quality is rapidly raised. 
     The conventional optical system of the portable electronic device usually has three or four lenses. However, the optical system is asked to take pictures in a dark environment, in other words, the optical system is asked to have a large aperture. The conventional optical system provides high optical performance as required. 
     It is an important issue to increase the quantity of light entering the lens. In addition, the modern lens is also asked to have several characters, including high image quality. 
     BRIEF SUMMARY OF THE INVENTION 
     The aspect of embodiment of the present disclosure directs to an optical image capturing system and an optical image capturing lens which use combination of refractive powers, convex and concave surfaces of five-piece optical lenses (the convex or concave surface in the disclosure denotes the geometrical shape of an image-side surface or an object-side surface of each lens on an optical axis) to increase the quantity of incoming light of the optical image capturing system, and to improve imaging quality for image formation, so as to be applied to minimized electronic products. 
     The term and its definition to the lens parameter in the embodiment of the present are shown as below for further reference. 
     The lens parameter related to a length or a height in the lens: 
     A height for image formation of the optical image capturing system is denoted by HOI. A height of the optical image capturing system is denoted by HOS. A distance from the object-side surface of the first lens to the image-side surface of the fifth lens is denoted by InTL. A distance from the first lens to the second lens is denoted by IN12 (instance). A central thickness of the first lens of the optical image capturing system on the optical axis is denoted by TP1 (instance). 
     The lens parameter related to a material in the lens: 
     An Abbe number of the first lens in the optical image capturing system is denoted by NA1 (instance). A refractive index of the first lens is denoted by Nd1 (instance). 
     The lens parameter related to a view angle in the lens: 
     A view angle is denoted by AF. Half of the view angle is denoted by HAF. A major light angle is denoted by MRA. 
     The lens parameter related to exit/entrance pupil in the lens: 
     An entrance pupil diameter of the optical image capturing system is denoted by HEP. For any surface of any lens, a maximum effective half diameter (EHD) is a perpendicular distance between an optical axis and a crossing point on the surface where the incident light with a maximum viewing angle of the system passing the very edge of the entrance pupil. For example, the maximum effective half diameter of the object-side surface of the first lens is denoted by EHD11, the maximum effective half diameter of the image-side surface of the first lens is denoted by EHD12, the maximum effective half diameter of the object-side surface of the second lens is denoted by EHD21, the maximum effective half diameter of the image-side surface of the second lens is denoted by EHD22, and so on. 
     The lens parameter related to an arc length of the shape of a surface and a surface profile: 
     For any surface of any lens, a profile curve length of the maximum effective half diameter is, by definition, measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to an end point of the maximum effective half diameter thereof. In other words, the curve length between the aforementioned start and end points is the profile curve length of the maximum effective half diameter, which is denoted by ARS. For example, the profile curve length of the maximum effective half diameter of the object-side surface of the first lens is denoted by ARS11, the profile curve length of the maximum effective half diameter of the image-side surface of the first lens is denoted by ARS12, the profile curve length of the maximum effective half diameter of the object-side surface of the second lens is denoted by ARS21, the profile curve length of the maximum effective half diameter of the image-side surface of the second lens is denoted by ARS22, and so on. 
     For any surface of any lens, a profile curve length of a half of the entrance pupil diameter (HEP) is, by definition, measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis. In other words, the curve length between the aforementioned stat point and the coordinate point is the profile curve length of a half of the entrance pupil diameter (HEP), and is denoted by ARE. For example, the profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the first lens is denoted by ARE11, the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the first lens is denoted by ARE12, the profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the second lens is denoted by ARE21, the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the second lens is denoted by ARE22, and so on. 
     The lens parameter related to a depth of the lens shape: 
     A distance in parallel with the optical axis from a point where the optical axis passes through to an end point of the maximum effective semi diameter on the object-side surface of the fifth lens is denoted by InRS51 (the depth of the maximum effective semi diameter). A distance in parallel with the optical axis from a point where the optical axis passes through to an end point of the maximum effective semi diameter on the image-side surface of the fifth lens is denoted by InRS52 (the depth of the maximum effective semi diameter). The depth of the maximum effective semi diameter (sinkage) on the object-side surface or the image-side surface of any other lens is denoted in the same manner. 
     The lens parameter related to the lens shape: 
     A critical point C is a tangent point on a surface of a specific lens, and the tangent point is tangent to a plane perpendicular to the optical axis and the tangent point cannot be a crossover point on the optical axis. To follow the past, a distance perpendicular to the optical axis between a critical point C41 on the object-side surface of the fourth lens and the optical axis is HVT41 (instance), and a distance perpendicular to the optical axis between a critical point C42 on the image-side surface of the fourth lens and the optical axis is HVT42 (instance). A distance perpendicular to the optical axis between a critical point C51 on the object-side surface of the fifth lens and the optical axis is HVT51 (instance), and a distance perpendicular to the optical axis between a critical point C52 on the image-side surface of the fifth lens and the optical axis is HVT52 (instance). A distance perpendicular to the optical axis between a critical point on the object-side or image-side surface of other lenses the optical axis is denoted in the same manner. 
     The object-side surface of the fifth lens has one inflection point IF511 which is nearest to the optical axis, and the sinkage value of the inflection point IF511 is denoted by SGI511 (instance). A distance perpendicular to the optical axis between the inflection point IF511 and the optical axis is HIF511 (instance). The image-side surface of the fifth lens has one inflection point IF521 which is nearest to the optical axis, and the sinkage value of the inflection point IF521 is denoted by SGI521 (instance). A distance perpendicular to the optical axis between the inflection point IF521 and the optical axis is HM521 (instance). 
     The object-side surface of the fifth lens has one inflection point IF512 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF512 is denoted by SGI512 (instance). A distance perpendicular to the optical axis between the inflection point IF512 and the optical axis is HIF512 (instance). The image-side surface of the fifth lens has one inflection point IF522 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF522 is denoted by SGI522 (instance). A distance perpendicular to the optical axis between the inflection point IF522 and the optical axis is HIF522 (instance). 
     The object-side surface of the fifth lens has one inflection point IF513 which is the third nearest to the optical axis, and the sinkage value of the inflection point IF513 is denoted by SGI513 (instance). A distance perpendicular to the optical axis between the inflection point IF513 and the optical axis is HIF513 (instance). The image-side surface of the fifth lens has one inflection point IF523 which is the third nearest to the optical axis, and the sinkage value of the inflection point IF523 is denoted by SGI523 (instance). A distance perpendicular to the optical axis between the inflection point IF523 and the optical axis is HIF523 (instance). 
     The object-side surface of the fifth lens has one inflection point IF514 which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF514 is denoted by SGI514 (instance). A distance perpendicular to the optical axis between the inflection point IF514 and the optical axis is HIF514 (instance). The image-side surface of the fifth lens has one inflection point IF524 which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF524 is denoted by SGI524 (instance). A distance perpendicular to the optical axis between the inflection point IF524 and the optical axis is HIF524 (instance). 
     An inflection point, a distance perpendicular to the optical axis between the inflection point and the optical axis, and a sinkage value thereof on the object-side surface or image-side surface of other lenses is denoted in the same manner. 
     The lens parameter related to an aberration: 
     Optical distortion for image formation in the optical image capturing system is denoted by ODT. TV distortion for image formation in the optical image capturing system is denoted by TDT. Further, the range of the aberration offset for the view of image formation may be limited to 50%-100% field. An offset of the spherical aberration is denoted by DFS. An offset of the coma aberration is denoted by DFC. 
     Transverse aberration on an edge of an aperture is denoted by STA, which stands for STOP transverse aberration, and is used to evaluate the performance of one specific optical image capturing system. The transverse aberration of light in any field of view can be calculated with a tangential fan or a sagittal fan. More specifically, the transverse aberration caused when the longest operation wavelength (e.g., 650 nm or 656 nm) and the shortest operation wavelength (e.g., 470 nm or 486 nm) pass through the edge of the aperture can be used as the reference for evaluating performance. The coordinate directions of the aforementioned tangential fan can be further divided into a positive direction (upper light) and a negative direction (lower light). The longest operation wavelength which passes through the edge of the aperture has an imaging position on the image plane in a particular field of view, and the reference wavelength of the mail light (e.g., 555 nm or 587.5 nm) has another imaging position on the image plane in the same field of view. The transverse aberration caused when the longest operation wavelength passes through the edge of the aperture is defined as a distance between these two imaging positions. Similarly, the shortest operation wavelength which passes through the edge of the aperture has an imaging position on the image plane in a particular field of view, and the transverse aberration caused when the shortest operation wavelength passes through the edge of the aperture is defined as a distance between the imaging position of the shortest operation wavelength and the imaging position of the reference wavelength. The performance of the optical image capturing system can be considered excellent if the transverse aberrations of the shortest and the longest operation wavelength which pass through the edge of the aperture and image on the image plane in 0.7 field of view (i.e., 0.7 times the height for image formation HOI) are both less than 20 μm or 20 pixels. Furthermore, for a stricter evaluation, the performance cannot be considered excellent unless the transverse aberrations of the shortest and the longest operation wavelength which pass through the edge of the aperture and image on the image plane in 0.7 field of view are both less than 10 μm or 10 pixels. 
     The optical image capturing system has a maximum image height HOI on the image plane vertical to the optical axis. A transverse aberration at 0.7 HOI in the positive direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture is denoted by PLTA; a transverse aberration at 0.7 HOI in the positive direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture is denoted by PSTA; a transverse aberration at 0.7 HOI in the negative direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture is denoted by NLTA; a transverse aberration at 0.7 HOI in the negative direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture is denoted by NSTA; a transverse aberration at 0.7 HOI of the sagittal fan after the longest operation wavelength passing through the edge of the aperture is denoted by SLTA; a transverse aberration at 0.7 HOI of the sagittal fan after the shortest operation wavelength passing through the edge of the aperture is denoted by SSTA. 
     The present invention provides an optical image capturing system, in which the fifth lens is provided with an inflection point at the object-side surface or at the image-side surface to adjust the incident angle of each view field and modify the ODT and the TDT. In addition, the surfaces of the fifth lens are capable of modifying the optical path to improve the imagining quality. 
     The optical image capturing system of the present invention includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and an image plane in order along an optical axis from an object side to an image side. The first lens has refractive power. Both the object-side surface and the image-side surface of the fifth lens are aspheric surfaces. The optical image capturing system satisfies:
 
1.2≦ f/HEP≦ 6.0; 0.5≦ HOS/f≦ 30; 0&lt; InTL/HOS&lt; 0.9; and 0.9≦2( ARE/HEP )≦1.5;
 
     where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance in parallel with the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens on the optical axis; ARE is a profile curve length measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis. 
     The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and an image plane in order along an optical axis from an object side to an image side. The first lens has negative refractive power, wherein the object-side surface thereof can be convex near the optical axis. The second lens has refractive power. The third lens has refractive power. The fourth lens has refractive power. The fifth lens has refractive power. Both the object-side surface and the image-side surface of at least one lens among the first lens to the fifth lens are aspheric surfaces. At least one lens among the first lens to the fifth lens has at least an inflection point on at least a surface thereof. At least one lens between the second lens and the fifth lens has positive refractive power. The optical image capturing system satisfies:
 
1.2≦ f/HEP≦ 6.0; 0.5≦ HOS/f≦ 30; 0&lt; InTL/HOS&lt; 0.9; and 0.9≦2( ARE/HEP )≦1.5;
 
     where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance in parallel with the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens on the optical axis; ARE is a profile curve length measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis. 
     The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and an image plane, in order along an optical axis from an object side to an image side. The number of the lenses having refractive power in the optical image capturing system is five. At least one lens among the first to the fifth lenses has at least an inflection point on at least one surface thereof. The first lens has negative refractive power, and the second lens has refractive power. The third lens has positive refractive power. The fourth lens has refractive power. The fifth lens has refractive power. The object-side surface and the image-side surface of at least one lens among the first lens to the fifth lens are both aspheric surfaces. The optical image capturing system satisfies:
 
1.2≦ f/HEP≦ 3.5; 0.5≦ HOS/f≦ 30; 0&lt; InTL/HOS&lt; 0.9; and 0.9≦2( ARE/HEP )≦1.5;
 
     where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance in parallel with the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens on the optical axis; ARE is a profile curve length measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis. 
     For any surface of any lens, the profile curve length within the effective half diameter affects the ability of the surface to correct aberration and differences between optical paths of light in different fields of view. With longer profile curve length, the ability to correct aberration is better. However, the difficulty of manufacturing increases as well. Therefore, the profile curve length within the effective half diameter of any surface of any lens has to be controlled. The ratio between the profile curve length (ARS) within the effective half diameter of one surface and the thickness (TP) of the lens, which the surface belonged to, on the optical axis (i.e., ARS/TP) has to be particularly controlled. For example, the profile curve length of the maximum effective half diameter of the object-side surface of the first lens is denoted by ARS11, the thickness of the first lens on the optical axis is TP1, and the ratio between these two parameters is ARS11/TP1; the profile curve length of the maximum effective half diameter of the image-side surface of the first lens is denoted by ARS12, and the ratio between ARS12 and TP1 is ARS12/TP1. The profile curve length of the maximum effective half diameter of the object-side surface of the second lens is denoted by ARS21, the thickness of the second lens on the optical axis is TP2, and the ratio between these two parameters is ARS21/TP2; the profile curve length of the maximum effective half diameter of the image-side surface of the second lens is denoted by ARS22, and the ratio between ARS22 and TP2 is ARS22/TP2. For any surface of other lenses in the optical image capturing system, the ratio between the profile curve length of the maximum effective half diameter thereof and the thickness of the lens which the surface belonged to is denoted in the same manner. 
     For any surface of any lens, the profile curve length within a half of the entrance pupil diameter (HEP) affects the ability of the surface to correct aberration and differences between optical paths of light in different fields of view. With longer profile curve length, the ability to correct aberration is better. However, the difficulty of manufacturing increases as well. Therefore, the profile curve length within a half of the entrance pupil diameter (HEP) of any surface of any lens has to be controlled. The ratio between the profile curve length (ARE) within a half of the entrance pupil diameter (HEP) of one surface and the thickness (TP) of the lens, which the surface belonged to, on the optical axis (i.e., ARE/TP) has to be particularly controlled. For example, the profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the first lens is denoted by ARE11, the thickness of the first lens on the optical axis is TP1, and the ratio between these two parameters is ARE11/TP1; the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the first lens is denoted by ARE12, and the ratio between ARE12 and TP1 is ARE12/TP1. The profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the second lens is denoted by ARE21, the thickness of the second lens on the optical axis is TP2, and the ratio between these two parameters is ARE21/TP2; the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the second lens is denoted by ARE22, and the ratio between ARE22 and TP2 is ARE22/TP2. For any surface of other lenses in the optical image capturing system, the ratio between the profile curve length of a half of the entrance pupil diameter (HEP) thereof and the thickness of the lens which the surface belonged to is denoted in the same manner. 
     In an embodiment, a height of the optical image capturing system (HOS) can be reduced while |f1|&gt;f5. 
     In an embodiment, when |f2|+|f3|+|f4| and |f1|+|f5| of the lenses satisfy the aforementioned conditions, at least one lens among the second to the fourth lenses could have weak positive refractive power or weak negative refractive power. Herein the weak refractive power means the absolute value of the focal length of one specific lens is greater than 10. When at least one lens among the second to the fourth lenses has weak positive refractive power, it may share the positive refractive power of the first lens, and on the contrary, when at least one lens among the second to the fourth lenses has weak negative refractive power, it may fine turn and correct the aberration of the system. 
     In an embodiment, the fifth lens could have negative refractive power, and an image-side surface thereof is concave, it may reduce back focal length and size. Besides, the fifth lens can have at least an inflection point on at least a surface thereof, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
    
    
     
       BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS 
       The present invention will be best understood by referring to the following detailed description of some illustrative embodiments in conjunction with the accompanying drawings, in which 
         FIG. 1A  is a schematic diagram of a first embodiment of the present invention; 
         FIG. 1B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the first embodiment of the present application; 
         FIG. 1C  shows a tangential fan and a sagittal fan of the optical image capturing system of the first embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture; 
         FIG. 2A  is a schematic diagram of a second embodiment of the present invention; 
         FIG. 2B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the second embodiment of the present application; 
         FIG. 2C  shows a tangential fan and a sagittal fan of the optical image capturing system of the second embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture; 
         FIG. 3A  is a schematic diagram of a third embodiment of the present invention; 
         FIG. 3B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the third embodiment of the present application; 
         FIG. 3C  shows a tangential fan and a sagittal fan of the optical image capturing system of the third embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture; 
         FIG. 4A  is a schematic diagram of a fourth embodiment of the present invention; 
         FIG. 4B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fourth embodiment of the present application; 
         FIG. 4C  shows a tangential fan and a sagittal fan of the optical image capturing system of the fourth embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture; 
         FIG. 5A  is a schematic diagram of a fifth embodiment of the present invention; 
         FIG. 5B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fifth embodiment of the present application; 
         FIG. 5C  shows a tangential fan and a sagittal fan of the optical image capturing system of the fifth embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture; 
         FIG. 6A  is a schematic diagram of a sixth embodiment of the present invention; 
         FIG. 6B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the sixth embodiment of the present application; and 
         FIG. 6C  shows a tangential fan and a sagittal fan of the optical image capturing system of the sixth embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture. 
     
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
     An optical image capturing system of the present invention includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and an image plane from an object side to an image side. The optical image capturing system further is provided with an image sensor at an image plane. 
     The optical image capturing system can work in three wavelengths, including 486.1 nm, 587.5 nm, and 656.2 nm, wherein 587.5 nm is the main reference wavelength and is the reference wavelength for obtaining the technical characters. The optical image capturing system can also work in five wavelengths, including 470 nm, 510 nm, 555 nm, 610 nm, and 650 nm wherein 555 nm is the main reference wavelength, and is the reference wavelength for obtaining the technical characters. 
     The optical image capturing system of the present invention satisfies 0.5≦ΣPPR/|ΣNPR|≦3.0, and a preferable range is 1≦ΣPPR/|ΣNPR|≦2.5, where PPR is a ratio of the focal length f of the optical image capturing system to a focal length fp of each of lenses with positive refractive power; NPR is a ratio of the focal length f of the optical image capturing system to a focal length fn of each of lenses with negative refractive power; ΣPPR is a sum of the PPRs of each positive lens; and ΣNPR is a sum of the NPRs of each negative lens. It is helpful for control of an entire refractive power and an entire length of the optical image capturing system. 
     The image sensor is provided on the image plane. The optical image capturing system of the present invention satisfies HOS/HOI≦25 and 0.5≦HOS/f≦25, and a preferable range is 1≦HOS/HOI≦20 and 1≦HOS/f≦20, where HOI is a half of a diagonal of an effective sensing area of the image sensor, i.e., the maximum image height, and HOS is a height of the optical image capturing system, i.e. a distance on the optical axis between the object-side surface of the first lens and the image plane. It is helpful for reduction of the size of the system for used in compact cameras. 
     The optical image capturing system of the present invention further is provided with an aperture to increase image quality. 
     In the optical image capturing system of the present invention, the aperture could be a front aperture or a middle aperture, wherein the front aperture is provided between the object and the first lens, and the middle is provided between the first lens and the image plane. The front aperture provides a long distance between an exit pupil of the system and the image plane, which allows more elements to be installed. The middle could enlarge a view angle of view of the system and increase the efficiency of the image sensor. The optical image capturing system satisfies 0.2≦InS/HOS≦1.1, where InS is a distance between the aperture and the image plane. It is helpful for size reduction and wide angle. 
     The optical image capturing system of the present invention satisfies 0.1≦ΣTP/InTL≦0.9, where InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens, and ΣTP is a sum of central thicknesses of the lenses on the optical axis. It is helpful for the contrast of image and yield rate of manufacture and provides a suitable back focal length for installation of other elements. 
     The optical image capturing system of the present invention satisfies 0.01&lt;|R1/R2|&lt;100, and a preferable range is 0.05&lt;|R1/R2|&lt;80, where R1 is a radius of curvature of the object-side surface of the first lens, and R2 is a radius of curvature of the image-side surface of the first lens. It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration. 
     The optical image capturing system of the present invention satisfies −50&lt;(R9−R10)/(R9+R10)&lt;50, where R9 is a radius of curvature of the object-side surface of the fifth lens, and R10 is a radius of curvature of the image-side surface of the fifth lens. It may modify the astigmatic field curvature. 
     The optical image capturing system of the present invention satisfies IN12/f≦5.0, where IN12 is a distance on the optical axis between the first lens and the second lens. It may correct chromatic aberration and improve the performance. 
     The optical image capturing system of the present invention satisfies IN45/f≦5.0, where IN45 is a distance on the optical axis between the fourth lens and the fifth lens. It may correct chromatic aberration and improve the performance. 
     The optical image capturing system of the present invention satisfies 0.1≦(TP1+IN12)/TP2≦50.0, where TP1 is a central thickness of the first lens on the optical axis, and TP2 is a central thickness of the second lens on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance. 
     The optical image capturing system of the present invention satisfies 0.1≦(TP5+IN45)/TP4≦50.0, where TP4 is a central thickness of the fourth lens on the optical axis, TP5 is a central thickness of the fifth lens on the optical axis, and IN45 is a distance between the fourth lens and the fifth lens. It may control the sensitivity of manufacture of the system and improve the performance. 
     The optical image capturing system of the present invention satisfies 0.1≦TP3/(IN23+TP3+IN34)&lt;1, where TP2 is a central thickness of the second lens on the optical axis, TP3 is a central thickness of the third lens on the optical axis, TP4 is a central thickness of the fourth lens on the optical axis, IN23 is a distance on the optical axis between the second lens and the third lens, IN34 is a distance on the optical axis between the third lens and the fourth lens, and InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens. It may fine tune and correct the aberration of the incident rays layer by layer, and reduce the height of the system. 
     The optical image capturing system satisfies 0 mm≦HVT51≦3 mm; 0 mm&lt;HVT52≦6 mm; 0≦HVT51/HVT52; 0 mm≦|SGC51|≦0.5 mm; 0 mm&lt;|SGC52|≦2 mm; and 0&lt;|SGC52|/(|SGC52|+TP5)≦0.9, where HVT51 a distance perpendicular to the optical axis between the critical point C51 on the object-side surface of the fifth lens and the optical axis; HVT52 a distance perpendicular to the optical axis between the critical point C52 on the image-side surface of the fifth lens and the optical axis; SGC51 is a distance in parallel with the optical axis between an point on the object-side surface of the fifth lens where the optical axis passes through and the critical point C51; SGC52 is a distance in parallel with the optical axis between an point on the image-side surface of the fifth lens where the optical axis passes through and the critical point C52. It is helpful to correct the off-axis view field aberration. 
     The optical image capturing system satisfies 0.2≦HVT52/HOI≦0.9, and preferably satisfies 0.3≦HVT52/HOI≦0.8. It may help to correct the peripheral aberration. 
     The optical image capturing system satisfies 0≦HVT52/HOS≦0.5, and preferably satisfies 0.2≦HVT52/HOS≦0.45. It may help to correct the peripheral aberration. 
     The optical image capturing system of the present invention satisfies 0&lt;SGI511/(SGI511+TP5)≦0.9; 0&lt;SGI521/(SGI521+TP5)≦0.9, and it is preferable to satisfy 0.1≦SGI511/(SGI511+TP5)≦0.6; 0.1≦SGI521/(SGI521+TP5)≦0.6, where SGI511 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI521 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     The optical image capturing system of the present invention satisfies 0&lt;SGI512/(SGI512+TP5)≦0.9; 0&lt;SGI522/(SGI522+TP5)≦0.9, and it is preferable to satisfy 0.1≦SGI512/(SGI512+TP5)≦0.6; 0.1≦SGI522/(SGI522+TP5)≦0.6, where SGI512 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI522 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the second closest to the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF511|≦5 mm; 0.001 mm≦|HIF521|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF511|≦3.5 mm; 1.5 mm≦|HIF521|≦3.5 mm, where HIF511 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis; HIF521 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF512|≦5 mm; 0.001 mm≦|HIF522|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF522|≦3.5 mm; 0.1 mm≦|HIF512|≦3.5 mm, where HIF512 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis; HIF522 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF513|≦5 mm; 0.001 mm≦|HIF523|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF523|≦3.5 mm; 0.1 mm≦|HIF513|≦3.5 mm, where HIF513 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the third closest to the optical axis, and the optical axis; HIF523 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the third closest to the optical axis, and the optical axis. 
     The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF514|≦5 mm; 0.001 mm≦|HIF524|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF524|≦3.5 mm; 0.1 mm≦|HIF514|≦3.5 mm, where HIF514 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the fourth closest to the optical axis, and the optical axis; HIF524 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the fourth closest to the optical axis, and the optical axis. 
     In an embodiment, the lenses of high Abbe number and the lenses of low Abbe number are arranged in an interlaced arrangement that could be helpful for correction of aberration of the system. 
     An equation of aspheric surface is
 
 z=ch   2 /[1+[1( k+ 1) c   2   h   2 ] 0.5   ]+A 4 h   4   +A 6 h   6   +A 8 h   8   +A 10 h   10   +A 12 h   12   +A 14 h   14   +A 16 h   16   +A 18 h   18   +A 20 h   20 + . . .   (1)
 
     where z is a depression of the aspheric surface; k is conic constant; c is reciprocal of the radius of curvature; and A4, A6, A8, A10, A12, A14, A16, A18, and A20 are high-order aspheric coefficients. 
     In the optical image capturing system, the lenses could be made of plastic or glass. The plastic lenses may reduce the weight and lower the cost of the system, and the glass lenses may control the thermal effect and enlarge the space for arrangement of the refractive power of the system. In addition, the opposite surfaces (object-side surface and image-side surface) of the first to the fifth lenses could be aspheric that can obtain more control parameters to reduce aberration. The number of aspheric glass lenses could be less than the conventional spherical glass lenses, which is helpful for reduction of the height of the system. 
     When the lens has a convex surface, which means that the surface is convex around a position, through which the optical axis passes, and when the lens has a concave surface, which means that the surface is concave around a position, through which the optical axis passes. 
     The optical image capturing system of the present invention could be applied in a dynamic focusing optical system. It is superior in the correction of aberration and high imaging quality so that it could be allied in lots of fields. 
     The optical image capturing system of the present invention could further include a driving module to meet different demands, wherein the driving module can be coupled with the lenses to move the lenses. The driving module can be a voice coil motor (VCM), which is used to move the lens for focusing, or can be an optical image stabilization (OIS) component, which is used to lower the possibility of having the problem of image blurring which is caused by subtle movements of the lens while shooting. 
     We provide several embodiments in conjunction with the accompanying drawings for the best understanding, which are: 
     First Embodiment 
     As shown in  FIG. 1A  and  FIG. 1B , an optical image capturing system  10  of the first embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  110 , an aperture  100 , a second lens  120 , a third lens  130 , a fourth lens  140 , a fifth lens  150 , an infrared rays filter  180 , an image plane  190 , and an image sensor  192 .  FIG. 1C  shows a tangential fan and a sagittal fan of the optical image capturing system  10  of the first embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of the aperture  100 . 
     The first lens  110  has negative refractive power and is made of plastic. An object-side surface  112  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  114  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  112  has an inflection point thereon. A profile curve length of the maximum effective half diameter of an object-side surface of the first lens  110  is denoted by ARS  11 , and a profile curve length of the maximum effective half diameter of the image-side surface of the first lens  110  is denoted by ARS  12 . A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the first lens  110  is denoted by ARE11, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the first lens  110  is denoted by ARE12. A thickness of the first lens  110  on the optical axis is TP1. 
     The first lens satisfies SGI111=1.96546 mm; |SGI111|/(|SGI111|+TP1)=0.72369, where SGI111 is a displacement in parallel with the optical axis from a point on the object-side surface of the first lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI121 is a displacement in parallel with the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     The first lens satisfies HIF111=3.38542 mm; HIF111/HOI=0.90519, where HIF111 is a displacement perpendicular to the optical axis from a point on the object-side surface of the first lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis; HIF121 is a displacement perpendicular to the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis. 
     The second lens  120  has positive refractive power and is made of plastic. An object-side surface  122  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  124  thereof, which faces the image side, is a concave aspheric surface. A profile curve length of the maximum effective half diameter of an object-side surface of the second lens  120  is denoted by ARS21, and a profile curve length of the maximum effective half diameter of the image-side surface of the second lens  120  is denoted by ARS22. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the second lens  120  is denoted by ARE21, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the second lens  120  is denoted by ARE22. A thickness of the second lens  120  on the optical axis is TP2. 
     For the second lens, a displacement in parallel with the optical axis from a point on the object-side surface of the second lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis is denoted by SGI211, and a displacement in parallel with the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis is denoted by SGI221. 
     For the second lens, a displacement perpendicular to the optical axis from a point on the object-side surface of the second lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis is denoted by HIF211, and a displacement perpendicular to the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis is denoted by HIF221. 
     The third lens  130  has positive refractive power and is made of plastic. An object-side surface  132 , which faces the object side, is a convex aspheric surface, and an image-side surface  134 , which faces the image side, is a convex aspheric surface. The object-side surface  132  has an inflection point. A profile curve length of the maximum effective half diameter of an object-side surface of the third lens  130  is denoted by ARS31, and a profile curve length of the maximum effective half diameter of the image-side surface of the third lens  130  is denoted by ARS32. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the third lens  130  is denoted by ARE31, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the third lens  130  is denoted by ARE32. A thickness of the third lens  130  on the optical axis is TP3. 
     The third lens  130  satisfies SGI311=0.00388 mm; |SGI311|/(|SGI311|+TP3)=0.00414, where SGI311 is a displacement in parallel with the optical axis, from a point on the object-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI321 is a displacement in parallel with the optical axis, from a point on the image-side surface of the third lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     For the third lens  130 , SGI312 is a displacement in parallel with the optical axis, from a point on the object-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI322 is a displacement in parallel with the optical axis, from a point on the image-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis. 
     The third lens  130  further satisfies HIF311=0.38898 mm; HIF311/HOI=0.10400, where HIF311 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the closest to the optical axis, and the optical axis; HIF321 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the closest to the optical axis, and the optical axis. 
     For the third lens  130 , HIF312 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the second closest to the optical axis, and the optical axis; HIF322 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the second closest to the optical axis, and the optical axis. 
     The fourth lens  140  has positive refractive power and is made of plastic. An object-side surface  142 , which faces the object side, is a convex aspheric surface, and an image-side surface  144 , which faces the image side, is a convex aspheric surface. The object-side surface  142  has an inflection point. A profile curve length of the maximum effective half diameter of an object-side surface of the fourth lens  140  is denoted by ARS41, and a profile curve length of the maximum effective half diameter of the image-side surface of the fourth lens  140  is denoted by ARS42. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the fourth lens  140  is denoted by ARE41, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the fourth lens  140  is denoted by ARE42. A thickness of the fourth lens  140  on the optical axis is TP4. 
     The fourth lens  140  satisfies SGI421=0.06508 mm; |SGI421|/(|SGI421|+TP4)=0.03459, where SGI411 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI421 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     For the fourth lens  140 , SGI412 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI422 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis. 
     The fourth lens  140  further satisfies HIF421=0.85606 mm; HIF421/HOI=0.22889, where HIF411 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis; HIF421 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis. 
     For the fourth lens  140 , HIF412 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis; HIF422 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis. 
     The fifth lens  150  has negative refractive power and is made of plastic. An object-side surface  152 , which faces the object side, is a concave aspheric surface, and an image-side surface  154 , which faces the image side, is a concave aspheric surface. The object-side surface  152  and the image-side surface  154  both have an inflection point. A profile curve length of the maximum effective half diameter of an object-side surface of the fifth lens  150  is denoted by ARS51, and a profile curve length of the maximum effective half diameter of the image-side surface of the fifth lens  150  is denoted by ARS52. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the fifth lens  150  is denoted by ARE51, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the fifth lens  150  is denoted by ARE52. A thickness of the fifth lens  150  on the optical axis is TP5. 
     The fifth lens  150  satisfies SGI511=−1.51505 mm; |SGI511|/(|SGI511|+TP5)=0.70144; SGI521=0.01229 mm; |SGI521|/(|SGI521|+TP5)=0.01870, where SGI511 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI521 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     For the fifth lens  150 , SGI512 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI522 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis. 
     The fifth lens  150  further satisfies HIF511=2.25435 mm; HIF511/HOI=0.60277; HIF521=0.82313 mm; HIF521/HOI=0.22009, where HIF511 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis; HIF521 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis. 
     For the fifth lens  150 , HIF512 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis; HIF522 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis. 
     The infrared rays filter  180  is made of glass and between the fifth lens  150  and the image plane  190 . The infrared rays filter  180  gives no contribution to the focal length of the system. 
     The optical image capturing system  10  of the first embodiment has the following parameters, which are f=3.03968 mm; f/HEP=1.6; HAF=50.001; and tan(HAF)=1.1918, where f is a focal length of the system; HAF is a half of the maximum field angle; and HEP is an entrance pupil diameter. 
     The parameters of the lenses of the first embodiment are f1=−9.24529 mm; |f/f1|=0.32878; f5=−2.32439; and |f1|&gt;f5, where f1 is a focal length of the first lens  110 ; and f5 is a focal length of the fifth lens  150 . 
     The first embodiment further satisfies |f2|+|f3|+|f4|=17.3009 mm; |f1|+|f5|=11.5697 mm and |f2|+|f3|+|f4|+|f1|+|f5|, where f2 is a focal length of the second lens  120 , f3 is a focal length of the third lens  130 , f4 is a focal length of the fourth lens  140 , and f5 is a focal length of the fifth lens  150 . 
     The optical image capturing system  10  of the first embodiment further satisfies ΣPPR=f/f2+f/f3+f/f4=1.86768; ΣNPR=f/f1+f/f5=−1.63651; ΣPPR/|ΣNPR|=1.14125; |f/f2|=0.47958; |f/f3|=0.38289; |f/f4|=1.00521; |f/f5|=1.30773, where PPR is a ratio of a focal length f of the optical image capturing system to a focal length fp of each of the lenses with positive refractive power; and NPR is a ratio of a focal length f of the optical image capturing system to a focal length fn of each of lenses with negative refractive power. 
     The optical image capturing system  10  of the first embodiment further satisfies InTL+BFL=HOS; HOS=10.56320 mm; HOI=3.7400 mm; HOS/HOI=2.8244; HOS/f=3.4751; InS=6.21073 mm; and InS/HOS=0.5880, where InTL is a distance between the object-side surface  112  of the first lens  110  and the image-side surface  154  of the fifth lens  150 ; HOS is a height of the image capturing system, i.e. a distance between the object-side surface  112  of the first lens  110  and the image plane  190 ; InS is a distance between the aperture  100  and the image plane  190 ; HOI is a half of a diagonal of an effective sensing area of the image sensor  192 , i.e., the maximum image height; and BFL is a distance between the image-side surface  154  of the fifth lens  150  and the image plane  190 . 
     The optical image capturing system  10  of the first embodiment further satisfies ΣTP=5.0393 mm; InTL=9.8514 mm and ΣTP/InTL=0.5115, where ΣTP is a sum of the thicknesses of the lenses  110 - 150  with refractive power. It is helpful for the contrast of image and yield rate of manufacture and provides a suitable back focal length for installation of other elements. 
     The optical image capturing system  10  of the first embodiment further satisfies |R1/R2|=1.9672, where R1 is a radius of curvature of the object-side surface  112  of the first lens  110 , and R2 is a radius of curvature of the image-side surface  114  of the first lens  110 . It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration. 
     The optical image capturing system  10  of the first embodiment further satisfies (R9−R10)/(R9+R10)=−1.1505, where R9 is a radius of curvature of the object-side surface  152  of the fifth lens  150 , and R10 is a radius of curvature of the image-side surface  154  of the fifth lens  150 . It may modify the astigmatic field curvature. 
     The optical image capturing system  10  of the first embodiment further satisfies ΣPP=f2+f3+f4=17.30090 mm; and f2/(f2+f3+f4)=0.36635, where ΣPP is a sum of the focal lengths fp of each lens with positive refractive power. It is helpful to share the positive refractive power of the second lens  120  to other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system  10  of the first embodiment further satisfies ΣNP=f1+f5=−11.56968 mm; and f5/(f1+f5)=0.20090, where ΣNP is a sum of the focal lengths fn of each lens with negative refractive power. It is helpful to share the negative refractive power of the fifth lens  150  to the other negative lens, which avoid the significant aberration caused by the incident rays. 
     The optical image capturing system  10  of the first embodiment further satisfies IN12=3.19016 mm; IN12/f=1.04951, where IN12 is a distance on the optical axis between the first lens  110  and the second lens  120 . It may correct chromatic aberration and improve the performance. 
     The optical image capturing system  10  of the first embodiment further satisfies IN45=0.40470 mm; IN45/f=0.13314, where IN45 is a distance on the optical axis between the fourth lens  140  and the fifth lens  150 . It may correct chromatic aberration and improve the performance. 
     The optical image capturing system  10  of the first embodiment further satisfies TP1=0.75043 mm; TP2=0.89543 mm; TP3=0.93225 mm; and (TP1+IN12)/TP2=4.40078, where TP1 is a central thickness of the first lens  110  on the optical axis, TP2 is a central thickness of the second lens  120  on the optical axis, and TP3 is a central thickness of the third lens  130  on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance. 
     The optical image capturing system  10  of the first embodiment further satisfies TP4=1.81634 mm; TP5=0.64488 mm; and (TP5+IN45)/TP4=0.57785, where TP4 is a central thickness of the fourth lens  140  on the optical axis, TP5 is a central thickness of the fifth lens  150  on the optical axis, and IN45 is a distance on the optical axis between the fourth lens  140  and the fifth lens  150 . It may control the sensitivity of manufacture of the system and lower the total height of the system. 
     The optical image capturing system  10  of the first embodiment further satisfies TP2/TP3=0.96051; TP3/TP4=0.51325; TP4/TP5=2.81657; and TP3/(IN23+TP3+IN34)=0.43372, where IN34 is a distance on the optical axis between the third lens  130  and the fourth lens  140 . It may control the sensitivity of manufacture of the system and lower the total height of the system. 
     The optical image capturing system  10  of the first embodiment further satisfies InRS41=−0.09737 mm; InRS42=−1.31040 mm; |InRS41|/TP4=0.05361 and |InRS42|/TP4=0.72145, where InRS41 is a displacement in parallel with the optical axis from a point on the object-side surface  142  of the fourth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the object-side surface  142  of the fourth lens; InRS42 is a displacement in parallel with the optical axis from a point on the image-side surface  144  of the fourth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the image-side surface  144  of the fourth lens; and TP4 is a central thickness of the fourth lens  140  on the optical axis. It is helpful for manufacturing and shaping of the lenses and is helpful to reduce the size. 
     The optical image capturing system  10  of the first embodiment further satisfies HVT41=1.41740 mm; HVT42=0, where HVT41 a distance perpendicular to the optical axis between the critical point on the object-side surface  142  of the fourth lens and the optical axis; and HVT42 a distance perpendicular to the optical axis between the critical point on the image-side surface  144  of the fourth lens and the optical axis. 
     The optical image capturing system  10  of the first embodiment further satisfies InRS51=−1.63543 mm; InRS52=−0.34495 mm; |InRS51|/TP5=2.53604 and |InRS52|/TP5=0.53491, where InRS51 is a displacement in parallel with the optical axis from a point on the object-side surface  152  of the fifth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the object-side surface  152  of the fifth lens; InRS52 is a displacement in parallel with the optical axis from a point on the image-side surface  154  of the fifth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the image-side surface  154  of the fifth lens; and TP5 is a central thickness of the fifth lens  150  on the optical axis. It is helpful for manufacturing and shaping of the lenses and is helpful to reduce the size. 
     The optical image capturing system  10  of the first embodiment satisfies HVT51=0; HVT52=1.35891 mm; and HVT51/HVT52=0, where HVT51 a distance perpendicular to the optical axis between the critical point on the object-side surface  152  of the fifth lens and the optical axis; and HVT52 a distance perpendicular to the optical axis between the critical point on the image-side surface  154  of the fifth lens and the optical axis. 
     The optical image capturing system  10  of the first embodiment satisfies HVT52/HOI=0.36334. It is helpful for correction of the aberration of the peripheral view field of the optical image capturing system. 
     The optical image capturing system  10  of the first embodiment satisfies HVT52/HOS=0.12865. It is helpful for correction of the aberration of the peripheral view field of the optical image capturing system. 
     The third lens  130  and the fifth lens  150  have negative refractive power. The optical image capturing system  10  of the first embodiment further satisfies NA5/NA3=0.368966, where NA3 is an Abbe number of the third lens  130 ; and NA5 is an Abbe number of the fifth lens  150 . It may correct the aberration of the optical image capturing system. 
     The optical image capturing system  10  of the first embodiment further satisfies |TDT|=0.63350%; |ODT|=2.06135%, where TDT is TV distortion; and ODT is optical distortion. 
     For the fifth lens  150  of the optical image capturing system  10  in the first embodiment, a transverse aberration at 0.7 field of view in the positive direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture  100  is denoted by PLTA, and is −0.042 mm; a transverse aberration at 0.7 field of view in the positive direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture  100  is denoted by PSTA, and is 0.056 mm; a transverse aberration at 0.7 field of view in the negative direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture  100  is denoted by NLTA, and is −0.011 mm; a transverse aberration at 0.7 field of view in the negative direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture  100  is denoted by NSTA, and is −0.024 mm; a transverse aberration at 0.7 field of view of the sagittal fan after the longest operation wavelength passing through the edge of the aperture  100  is denoted by SLTA, and is −0.013 mm; a transverse aberration at 0.7 field of view of the sagittal fan after the shortest operation wavelength passing through the edge of the aperture  100  is denoted by SSTA, and is 0.018 mm. 
     The parameters of the lenses of the first embodiment are listed in Table 1 and Table 2. 
     
       
         
           
               
             
               
                 TABLE 1 
               
             
            
               
                   
               
               
                 f = 3.03968 mm; f/HEP = 1.6; HAF = 50.0010 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 4.01438621 
                 0.750 
                 plastic 
                 1.514 
                 56.80 
                 −9.24529 
               
               
                 2 
                   
                 2.040696375 
                 3.602 
               
               
                 3 
                 Aperture 
                 plane 
                 −0.412 
               
               
                 4 
                 2 nd  lens 
                 2.45222384 
                 0.895 
                 plastic 
                 1.565 
                 58.00 
                 6.33819 
               
               
                 5 
                   
                 6.705898264 
                 0.561 
               
               
                 6 
                 3 rd  lens 
                 16.39663088 
                 0.932 
                 plastic 
                 1.565 
                 58.00 
                 7.93877 
               
               
                 7 
                   
                 −6.073735083 
                 0.656 
               
               
                 8 
                 4 th  lens 
                 4.421363446 
                 1.816 
                 plastic 
                 1.565 
                 58.00 
                 3.02394 
               
               
                 9 
                   
                 −2.382933539 
                 0.405 
               
               
                 10 
                 5 th  lens 
                 −1.646639396 
                 0.645 
                 plastic 
                 1.650 
                 21.40 
                 −2.32439 
               
               
                 11 
                   
                 23.53222697 
                 0.100 
               
               
                 12 
                 Infrared 
                 plane 
                 0.200 
                 BK7_SCH 
                 1.517 
                 64.20 
               
               
                   
                 rays 
               
               
                   
                 filter 
               
               
                 13 
                   
                 plane 
                 0.412 
               
               
                 14 
                 Image 
                 plane 
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 2 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k 
                 −1.882119E−01 
                 −1.927558E+00 
                 −6.483417E+00 
                 1.766123E+01 
                 −5.000000E+01 
                 −3.544648E+01 
                 −3.167522E+01 
               
               
                 A4 
                 7.686381E−04 
                 3.070422E−02 
                 5.439775E−02 
                 7.241691E−03 
                 −2.985209E−02 
                 −6.315366E−02 
                 −1.903506E−03 
               
               
                 A6 
                 4.630306E−04 
                 −3.565153E−03 
                 −7.980567E−03 
                 −8.359563E−03 
                 −7.175713E−03 
                 6.038040E−03 
                 −1.806837E−03 
               
               
                 A8 
                 3.178966E−05 
                 2.062259E−03 
                 −3.537039E−04 
                 1.303430E−02 
                 4.284107E−03 
                 4.674156E−03 
                 −1.670351E−03 
               
               
                 A10 
                 −1.773597E−05 
                 −1.571117E−04 
                 2.844845E−03 
                 −6.951350E−03 
                 −5.492349E−03 
                 −8.031117E−03 
                 4.791024E−04 
               
               
                 A12 
                 1.620619E−06 
                 −4.694004E−05 
                 −1.025049E−03 
                 1.366262E−03 
                 1.232072E−03 
                 3.319791E−03 
                 −5.594125E−05 
               
               
                 A14 
                 −4.916041E−08 
                 7.399980E−06 
                 1.913679E−04 
                 3.588298E−04 
                 −4.107269E−04 
                 −5.356799E−04 
                 3.704401E−07 
               
               
                 A16 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A18 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                 A20 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                 8 
                 9 
                 10 
               
               
                   
                   
               
               
                   
                 k 
                 −2.470764E+00 
                 −1.570351E+00 
                 4.928899E+01 
               
               
                   
                 A4 
                 −2.346908E−04 
                 −4.250059E−04 
                 −4.625703E−03 
               
               
                   
                 A6 
                 2.481207E−03 
                 −1.591781E−04 
                 −7.108872E−04 
               
               
                   
                 A8 
                 −5.862277E−04 
                 −3.752177E−05 
                 3.429244E−05 
               
               
                   
                 A10 
                 −1.955029E−04 
                 −9.210114E−05 
                 2.887298E−06 
               
               
                   
                 A12 
                 1.880941E−05 
                 −1.101797E−05 
                 3.684628E−07 
               
               
                   
                 A14 
                 1.132586E−06 
                 3.536320E−06 
                 −4.741322E−08 
               
               
                   
                 A16 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
                 A18 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
                 A20 
                 0.000000E+00 
                 0.000000E+00 
                 0.000000E+00 
               
               
                   
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 1 and Table 2 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 First embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 ARE 
                 1/2(HEP) 
                 ARE value 
                 ARE-1/2(HEP) 
                 2(ARE/HEP) % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 0.950 
                 0.958 
                 0.008 
                 100.87% 
                 0.750 
                 127.69% 
               
               
                 12 
                 0.950 
                 0.987 
                 0.037 
                 103.91% 
                 0.750 
                 131.53% 
               
               
                 21 
                 0.950 
                 0.976 
                 0.026 
                 102.74% 
                 0.895 
                 108.99% 
               
               
                 22 
                 0.950 
                 0.954 
                 0.004 
                 100.42% 
                 0.895 
                 106.52% 
               
               
                 31 
                 0.950 
                 0.949 
                 −0.001 
                 99.94% 
                 0.932 
                 101.83% 
               
               
                 32 
                 0.950 
                 0.959 
                 0.009 
                 100.93% 
                 0.932 
                 102.84% 
               
               
                 41 
                 0.950 
                 0.953 
                 0.003 
                 100.29% 
                 1.816 
                 52.45% 
               
               
                 42 
                 0.950 
                 0.970 
                 0.020 
                 102.15% 
                 1.816 
                 53.42% 
               
               
                 51 
                 0.950 
                 0.995 
                 0.045 
                 104.71% 
                 0.645 
                 154.24% 
               
               
                 52 
                 0.950 
                 0.949 
                 −0.001 
                 99.92% 
                 0.645 
                 147.18% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS-EHD 
                 (ARS/EHD) % 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 3.459 
                 4.210 
                 0.751 
                 121.71% 
                 0.750 
                 561.03% 
               
               
                 12 
                 2.319 
                 3.483 
                 1.165 
                 150.24% 
                 0.750 
                 464.19% 
               
               
                 21 
                 1.301 
                 1.384 
                 0.084 
                 106.43% 
                 0.895 
                 154.61% 
               
               
                 22 
                 1.293 
                 1.317 
                 0.024 
                 101.87% 
                 0.895 
                 147.09% 
               
               
                 31 
                 1.400 
                 1.447 
                 0.047 
                 103.39% 
                 0.932 
                 155.22% 
               
               
                 32 
                 1.677 
                 1.962 
                 0.285 
                 116.97% 
                 0.932 
                 210.45% 
               
               
                 41 
                 2.040 
                 2.097 
                 0.057 
                 102.82% 
                 1.816 
                 115.48% 
               
               
                 42 
                 2.338 
                 2.821 
                 0.483 
                 120.67% 
                 1.816 
                 155.32% 
               
               
                 51 
                 2.331 
                 2.971 
                 0.639 
                 127.43% 
                 0.645 
                 460.64% 
               
               
                 52 
                 3.219 
                 3.267 
                 0.049 
                 101.51% 
                 0.645 
                 506.66% 
               
               
                   
               
            
           
         
       
     
     The detail parameters of the first embodiment are listed in Table 1, in which the unit of the radius of curvature, thickness, and focal length are millimeter, and surface 0-10 indicates the surfaces of all elements in the system in sequence from the object side to the image side. Table 2 is the list of coefficients of the aspheric surfaces, in which A1-A20 indicate the coefficients of aspheric surfaces from the first order to the twentieth order of each aspheric surface. The following embodiments have the similar diagrams and tables, which are the same as those of the first embodiment, so we do not describe it again. 
     Second Embodiment 
     As shown in  FIG. 2A  and  FIG. 2B , an optical image capturing system  20  of the second embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  210 , a second lens  220 , a third lens  230 , an aperture  200 , a fourth lens  240 , a fifth lens  250 , an infrared rays filter  280 , an image plane  290 , and an image sensor  292 .  FIG. 2C  is a transverse aberration diagram at 0.7 field of view of the second embodiment of the present application. 
     The first lens  210  has negative refractive power and is made of glass. An object-side surface  212  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  214  thereof, which faces the image side, is a concave aspheric surface. 
     The second lens  220  has negative refractive power and is made of plastic. An object-side surface  222  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  224  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  222  and the image-side surface  224  both have an inflection point. 
     The third lens  230  has positive refractive power and is made of plastic. An object-side surface  232 , which faces the object side, is a convex aspheric surface, and an image-side surface  234 , which faces the image side, is a convex aspheric surface. The image-side surface  234  has an inflection point. 
     The fourth lens  240  has positive refractive power and is made of plastic. An object-side surface  242 , which faces the object side, is a convex aspheric surface, and an image-side surface  244 , which faces the image side, is a convex aspheric surface. The object-side surface  242  has an inflection point. 
     The fifth lens  250  has negative refractive power and is made of plastic. An object-side surface  252 , which faces the object side, is a concave surface, and an image-side surface  254 , which faces the image side, is a concave surface. It may help to shorten the back focal length to keep small in size. In addition, the image-side surface  254  has an inflection point, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  280  is made of glass and between the fifth lens  250  and the image plane  290 . The infrared rays filter  280  gives no contribution to the focal length of the system. 
     The optical image capturing system of the second embodiment satisfies |f2|+|f3|+|f4|=12.4856 mm; |f1|+|f5|=22.5928 mm; and |f2|+|f3|+|f4|&lt;|f1|+|f5|, where f1 is a focal length of the first lens  210 , f2 is a focal length of the second lens  220 , f3 is a focal length of the third lens  230 , f4 is a focal length of the fourth lens  240 , and f5 is a focal length of the fifth lens  250 . 
     In the second embodiment, the optical image capturing system of the second embodiment further satisfies ΣPP=7.52761 mm; and f3/ΣPP=0.65778, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the third lens  230  to the other positive lens to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the second embodiment further satisfies ΣNP=−27.55075 mm; and f1/ΣNP=0.67367, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the first lens  210  to other negative lenses. 
     The parameters of the lenses of the second embodiment are listed in Table 3 and Table 4. 
     
       
         
           
               
             
               
                 TABLE 3 
               
             
            
               
                   
               
               
                 f = 1.27833 mm; f/HEP = 1.8; HAF = 100 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 48.69976 
                 2.172658 
                 glass 
                 1.617998 
                 63.3959 
                 −18.5073 
               
               
                 2 
                   
                 9.12535 
                 1.948887 
               
               
                 3 
                 2 nd  lens 
                 7.78438 
                 1.451653 
                 Plastic 
                 1.565 
                 58 
                 −4.94336 
               
               
                 4 
                   
                 1.92127 
                 6.789355 
               
               
                 5 
                 3 rd  lens 
                 3.25516 
                 1.461703 
                 Plastic 
                 1.565 
                 58 
                 4.93623 
               
               
                 6 
                   
                 −16.6761 
                 0.975439 
               
               
                 7 
                 Aperture 
                 plane 
                 0.057715 
               
               
                 8 
                 4 th  lens 
                 10.18345 
                 1.438462 
                 Plastic 
                 1.565 
                 58 
                 2.56823 
               
               
                 9 
                   
                 −1.6116 
                 0.05 
               
               
                 10 
                 5 th  lens 
                 −211.233 
                 0.527661 
                 Plastic 
                 1.65 
                 21.4 
                 −3.99913 
               
               
                 11 
                   
                 2.65676 
                 0.5 
               
               
                 12 
                 Infrared 
                 plane 
                 0.85 
                 NBK7 
               
               
                   
                 rays 
               
               
                   
                 filter 
               
               
                 13 
                   
                 plane 
                 0.999897 
               
               
                 14 
                 Image 
                 plane 
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 4 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
            
               
                   
                 3 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k 
                 −0.491219 
                 −0.806365 
                 −0.515402 
                 −4.073799 
               
               
                 A4 
                 9.74710E−05 
                 6.69612E−04 
                 −2.76164E−03 
                 7.95025E−03 
               
               
                 A6 
                 −7.67931E−06 
                 2.04302E−05 
                 6.35616E−04 
                 1.06075E−03 
               
               
                 A8 
                 −1.56151E−07 
                 −8.99108E−06 
                 −1.28165E−04 
                 −8.02259E−05 
               
               
                 A10 
                 −5.05246E−09 
                 −6.94272E−07 
                 5.39798E−05 
                 1.52985E−04 
               
               
                 A12 
                 2.56374E−10 
                 −3.32342E−08 
                 −1.68483E−08 
                 2.49661E−08 
               
               
                 A14 
                 −2.71912E−12 
                 4.45177E−10 
                 1.04032E−15 
                 2.38721E−15 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
            
               
                   
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 k 
                 24.275531 
                 −5.226879 
                 0 
                 −10.492506 
               
               
                 A4 
                 −7.31035E−03 
                 −6.03147E−02 
                 −4.75465E−02 
                 −1.89985E−02 
               
               
                 A6 
                 −5.57048E−03 
                 −3.29659E−02 
                 −5.67368E−02 
                 −3.59276E−03 
               
               
                 A8 
                 4.16565E−03 
                 2.93955E−02 
                 2.96813E−02 
                 2.00042E−03 
               
               
                 A10 
                 −1.41599E−02 
                 −1.10122E−02 
                 −9.37602E−03 
                 −2.55987E−04 
               
               
                 A12 
                 2.49890E−08 
                 8.37106E−09 
                 −1.77469E−09 
                 −7.24727E−08 
               
               
                 A14 
                 4.36061E−09 
                 −1.04306E−09 
                 −4.28806E−10 
                 −9.16929E−09 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the second embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the second embodiment based on Table 3 and Table 4 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Second embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                 0.06888 
                 0.25783 
                 0.25817 
                 0.49623 
                 0.31699 
                 3.74349 
               
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN45/f 
                 |f2/f3| 
               
               
                 0.75440 
                 0.64370 
                 1.17197 
                 1.52456 
                 0.03911 
                 1.00130 
               
            
           
           
               
               
               
            
               
                 TP3/(IN23 + TP3 + IN34) 
                 (TP1 + IN12)/TP2 
                 (TP5 + IN45)/TP4 
               
               
                 0.15744 
                 2.83922 
                 0.40158 
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 |ODT| % 
                 |TDT| % 
               
               
                 19.22850  
                 16.87350  
                 5.91646 
                 0.23033 
                 −141.929    
                 120.303   
               
               
                 HVT41 
                 HVT42 
                 HVT51 
                 HVT52 
                 HVT52/ HOI 
                 HVT52/ HOS 
               
               
                 0.93379 
                 0.00000 
                 0.00000 
                 1.60520 
                 0.00000 
                 0.00000 
               
               
                 TP2/TP3 
                 TP3/TP4 
                 InRS51 
                 InRS52 
                 |InRS51|/TP5 
                 |InRS52|/TP5 
               
               
                 0.99312 
                 1.01616 
                 −0.352339 
                  0.173086 
                 0.66774 
                 0.32803 
               
               
                 PLTA 
                 PSTA 
                 NLTA 
                 NSTA 
                 SLTA 
                 SSTA 
               
               
                 −0.057 mm 
                 0.00036 mm 
                 −0.004 mm 
                 0.016 mm 
                 −0.011 mm 
                 0.007 mm 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 3 and Table 4 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Second embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 ARE 
                 1/2(HEP) 
                 ARE value 
                 ARE-1/2(HEP) 
                 2(ARE/HEP) % 
                 TP 
                 ARE/TP (%) 
               
               
                   
               
               
                 11 
                 0.354 
                 0.354 
                 −0.00017 
                 99.95% 
                 2.173 
                 16.29% 
               
               
                 12 
                 0.354 
                 0.354 
                 −0.00008 
                 99.98% 
                 2.173 
                 16.30% 
               
               
                 21 
                 0.354 
                 0.354 
                 −0.00005 
                 99.99% 
                 1.452 
                 24.39% 
               
               
                 22 
                 0.354 
                 0.356 
                 0.00183 
                 100.52% 
                 1.452 
                 24.52% 
               
               
                 31 
                 0.354 
                 0.355 
                 0.00053 
                 100.15% 
                 1.462 
                 24.27% 
               
               
                 32 
                 0.354 
                 0.354 
                 −0.00014 
                 99.96% 
                 1.462 
                 24.22% 
               
               
                 41 
                 0.354 
                 0.354 
                 −0.00010 
                 99.97% 
                 1.438 
                 24.61% 
               
               
                 42 
                 0.354 
                 0.357 
                 0.00252 
                 100.71% 
                 1.438 
                 24.80% 
               
               
                 51 
                 0.354 
                 0.354 
                 −0.00017 
                 99.95% 
                 0.528 
                 67.09% 
               
               
                 52 
                 0.354 
                 0.355 
                 0.00075 
                 100.21% 
                 0.528 
                 67.26% 
               
               
                   
               
               
                 ARS 
                 EHD 
                 ARS value 
                 ARS-EHD 
                 (ARS/EHD) % 
                 TP 
                 ARS/TP (%) 
               
               
                   
               
               
                 11 
                 11.479 
                 11.587 
                 0.10845 
                 100.94% 
                 2.173 
                 533.31% 
               
               
                 12 
                 6.976 
                 7.941 
                 0.96488 
                 113.83% 
                 2.173 
                 365.50% 
               
               
                 21 
                 6.105 
                 6.534 
                 0.42861 
                 107.02% 
                 1.452 
                 450.10% 
               
               
                 22 
                 3.642 
                 5.607 
                 1.96551 
                 153.97% 
                 1.452 
                 386.25% 
               
               
                 31 
                 2.145 
                 2.348 
                 0.20306 
                 109.46% 
                 1.462 
                 160.66% 
               
               
                 32 
                 1.717 
                 1.722 
                 0.00513 
                 100.30% 
                 1.462 
                 117.78% 
               
               
                 41 
                 0.985 
                 0.986 
                 0.00059 
                 100.06% 
                 1.438 
                 68.52% 
               
               
                 42 
                 1.294 
                 1.469 
                 0.17592 
                 113.60% 
                 1.438 
                 102.15% 
               
               
                 51 
                 1.264 
                 1.328 
                 0.06399 
                 105.06% 
                 0.528 
                 251.70% 
               
               
                 52 
                 1.585 
                 1.597 
                 0.01176 
                 100.74% 
                 0.528 
                 302.61% 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the second embodiment based on Table 3 and Table 4 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the second embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 4.74613 
                 HIF211/HOI 
                 1.46035 
                 SGI211 
                 1.44029 
                 |SGI211|/(|SGI211| + TP2) 
                 0.49804 
               
               
                 HIF221 
                 3.27876 
                 HIF221/HOI 
                 1.00885 
                 SGI221 
                 3.20907 
                 |SGI221|/(|SGI221| + TP2) 
                 0.68854 
               
               
                 HIF321 
                 0.72559 
                 HIF321/HOI 
                 0.22326 
                 SGI321 
                 −0.0134 
                 |SGI321|/(|SGI321| + TP3) 
                 0.00908 
               
               
                 HIF411 
                 0.68778 
                 HIF411/HOI 
                 0.21162 
                 SGI411 
                 0.02159 
                 |SGI411|/(|SGI411| + TP4) 
                 0.01479 
               
               
                 HIF521 
                 0.77551 
                 HIF521/HOI 
                 0.23862 
                 SGI521 
                 0.08912 
                 |SGI521|/(|SGI521| + TP5) 
                 0.14449 
               
               
                   
               
            
           
         
       
     
     Third Embodiment 
     As shown in  FIG. 3A  and  FIG. 3B , an optical image capturing system of the third embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  310 , a second lens  320 , a third lens  330 , an aperture  300 , a fourth lens  340 , a fifth lens  350 , an infrared rays filter  380 , an image plane  390 , and an image sensor  392 .  FIG. 3C  is a transverse aberration diagram at 0.7 field of view of the third embodiment of the present application. 
     The first lens  310  has negative refractive power and is made of glass. An object-side surface  312  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  314  thereof, which faces the image side, is a concave aspheric surface. 
     The second lens  320  has negative refractive power and is made of plastic. An object-side surface  322  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  324  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  322  and the image-side surface  324  both have an inflection point. 
     The third lens  330  has positive refractive power and is made of plastic. An object-side surface  332  thereof, which faces the object side, is a convex surface, and an image-side surface  334  thereof, which faces the image side, is a convex aspheric surface. The image-side surface  334  has an inflection point. 
     The fourth lens  340  has positive refractive power and is made of plastic. An object-side surface  342 , which faces the object side, is a convex aspheric surface, and an image-side surface  344 , which faces the image side, is a convex aspheric surface. The object-side surface  342  has an inflection point. 
     The fifth lens  350  has negative refractive power and is made of plastic. An object-side surface  352 , which faces the object side, is a concave surface, and an image-side surface  354 , which faces the image side, is a concave surface. It may help to shorten the back focal length to keep small in size. In addition, the image-side surface  354  has an inflection point, which may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  380  is made of glass and between the fifth lens  350  and the image plane  390 . The infrared rays filter  390  gives no contribution to the focal length of the system. 
     The optical image capturing system of the second embodiment satisfies |f2|+|f3|+|f4|=14.7820; |f1|+|f5|=20.1032; and |f2|+|f3|+f4|&lt;|f1|+|f5|, where f1 is a focal length of the first lens  310 , f2 is a focal length of the second lens  320 , f3 is a focal length of the third lens  330 , f4 is a focal length of the fourth lens  340 , and f5 is a focal length of the fifth lens  350 . 
     In the third embodiment, the optical image capturing system of the third embodiment further satisfies ΣPP=9.60965 mm; and f3/ΣPP=0.75163 mm, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the third lens  330  to the other positive lens to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the third embodiment further satisfies ΣNP=−25.27558 mm; and f1/ΣNP=0.66205, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the first lens  310  to other negative lenses. 
     The parameters of the lenses of the third embodiment are listed in Table 5 and Table 6. 
     
       
         
           
               
             
               
                 TABLE 5 
               
             
            
               
                   
               
               
                 f = 1.63727 mm; f/HEP = 2.4; HAF = 100 deg; 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 49.10381 
                 3.987681 
                 glass 
                 1.59349 
                 67 
                 −16.7336 
               
               
                 2 
                   
                 8.02849 
                 1.888867 
                 PCD51 
               
               
                 3 
                 2 nd  lens 
                 8.6763 
                 1.263001 
                 Plastic 
                 1.565 
                 58 
                 −5.17235 
               
               
                 4 
                   
                 2.07582 
                 6.067796 
               
               
                 5 
                 3 rd  lens 
                 4.85728 
                 1.483846 
                 Plastic 
                 1.544 
                 55.9 
                 7.22294 
               
               
                 6 
                   
                 −18.6661 
                 1.947349 
               
               
                 7 
                 Aperture 
                 plane 
                 0.05 
               
               
                 8 
                 4 th  lens 
                 4.79202 
                 1.721188 
                 Plastic 
                 1.565 
                 58 
                 2.38671 
               
               
                 9 
                   
                 −1.63991 
                 0.05 
               
               
                 10 
                 5 th  lens 
                 −5.81032 
                 0.675266 
                 Plastic 
                 1.65 
                 21.4 
                 −3.36963 
               
               
                 11 
                   
                 3.72688 
                 0.5 
               
               
                 12 
                 Infrared 
                 plane 
                 0.85 
                   
                 1.517 
                 64.13 
               
               
                   
                 rays 
               
               
                   
                 filter 
               
               
                 13 
                   
                 plane 
                 1.664576 
               
               
                 14 
                 Image 
                 plane 
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 6 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Surface 
                 3 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k 
                 −0.561604 
                 −0.769902 
                 1.891372 
                 13.456665 
               
               
                 A4 
                 −9.48305E−05 
                 −3.73734E−04 
                 −3.31859E−03 
                 5.63570E−03 
               
               
                 A6 
                 −8.09130E−06 
                  1.79004E−05 
                  9.17620E−04 
                 1.71347E−03 
               
               
                 A8 
                 −2.22454E−07 
                 −8.08178E−06 
                 −1.49506E−04 
                 −4.01635E−04  
               
               
                 A10 
                 −1.25388E−09 
                 −7.15612E−07 
                  1.83726E−05 
                 8.52429E−05 
               
               
                 A12 
                  2.12795E−10 
                 −2.65426E−08 
                 −1.68483E−08 
                 2.49661E−08 
               
               
                 A14 
                 −2.84873E−12 
                  4.45177E−10 
                  9.54242E−16 
                 2.37675E−15 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 Surface 
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                   
                 k 
                 5.869302 
                 −0.913048 
                 −27.195254 
                 −23.067663 
               
               
                   
                 A4 
                 −8.07898E−03 
                  4.02125E−02 
                 −5.46897E−02 
                 −1.30741E−02 
               
               
                   
                 A6 
                 −1.03092E−02 
                 −5.79468E−02 
                 −2.85402E−02 
                 −4.28132E−03 
               
               
                   
                 A8 
                  8.64127E−03 
                  2.44807E−02 
                  9.11427E−03 
                  1.72354E−03 
               
               
                   
                 A10 
                 −1.07801E−02 
                 −6.08307E−03 
                 −2.74455E−03 
                 −2.12727E−04 
               
               
                   
                 A12 
                  2.49890E−08 
                  8.37106E−09 
                 −1.77469E−09 
                 −7.24727E−08 
               
               
                   
                 A14 
                  4.36061E−09 
                 −1.04306E−09 
                 −4.28806E−10 
                 −9.16929E−09 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the third embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the third embodiment based on Table 5 and Table 6 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Third embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                 0.09784 
                 0.31654 
                 0.22668 
                 0.68599 
                 0.48589 
                 3.23520 
               
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN45/f 
                 |f2/f3| 
               
               
                 0.91267 
                 0.90028 
                 1.01377 
                 1.15367 
                 0.03054 
                 0.71610 
               
            
           
           
               
               
               
            
               
                 TP3/(IN23 + TP3 + IN34) 
                 (TP1 + IN12)/TP2 
                 (TP5 + IN45)/TP4 
               
               
                 0.15539 
                 4.65285 
                 0.42137 
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 |ODT| % 
                 |TDT| % 
               
               
                 22.14960  
                 19.13500  
                 6.81526 
                 0.24881 
                 −135.04    
                 116.266   
               
               
                 HVT41 
                 HVT42 
                 HVT51 
                 HVT52 
                 HVT52/HOI 
                 HVT52/HOS 
               
               
                 0.00000 
                 0.00000 
                 0.00000 
                 1.41492 
                 0.00000 
                 0.00000 
               
               
                 TP2/TP3 
                 TP3/TP4 
                 InRS51 
                 InRS52 
                 |InRS51|/TP5 
                 |InRS52|/TP5 
               
               
                 0.85116 
                 0.86211 
                 −0.44258  
                  0.0756467 
                 0.65542 
                 0.11203  
               
               
                 PLTA 
                 PSTA 
                 NLTA 
                 NSTA 
                 SLTA 
                 SSTA 
               
               
                 0.009 mm 
                 −0.015 mm 
                 0.007 mm 
                 −0.013 mm 
                 0.00017 mm 
                 −0.003 mm 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 5 and Table 6 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Third embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                 ARE 
                 ARE − 
                 2(ARE/ 
                   
                 ARE/ 
               
               
                 ARE 
                 ½(HEP) 
                 value 
                 ½(HEP) 
                 HEP) % 
                 TP 
                 TP (%) 
               
               
                   
               
               
                 11 
                 0.341 
                 0.341 
                 −0.00010 
                 99.97% 
                 3.988 
                 8.55% 
               
               
                 12 
                 0.341 
                 0.341 
                 0.00000 
                 100.00% 
                 3.988 
                 8.55% 
               
               
                 21 
                 0.341 
                 0.341 
                 −0.00001 
                 100.00% 
                 1.263 
                 27.01% 
               
               
                 22 
                 0.341 
                 0.343 
                 0.00143 
                 100.42% 
                 1.263 
                 27.12% 
               
               
                 31 
                 0.341 
                 0.341 
                 0.00018 
                 100.05% 
                 1.484 
                 23.00% 
               
               
                 32 
                 0.341 
                 0.341 
                 −0.00008 
                 99.98% 
                 1.484 
                 22.98% 
               
               
                 41 
                 0.341 
                 0.341 
                 0.00019 
                 100.06% 
                 1.721 
                 19.83% 
               
               
                 42 
                 0.341 
                 0.343 
                 0.00228 
                 100.67% 
                 1.721 
                 19.95% 
               
               
                 51 
                 0.341 
                 0.341 
                 0.00013 
                 100.04% 
                 0.675 
                 50.53% 
               
               
                 52 
                 0.341 
                 0.341 
                 0.00032 
                 100.09% 
                 0.675 
                 50.56% 
               
               
                   
               
               
                   
                   
                 ARS 
                 ARS − 
                 (ARS/ 
                   
                 ARS/ 
               
               
                 ARS 
                 EHD 
                 value 
                 EHD 
                 EHD) % 
                 TP 
                 TP (%) 
               
               
                   
               
               
                 11 
                 12.480 
                 12.618 
                 0.13805 
                 101.11% 
                 3.988 
                 316.44% 
               
               
                 12 
                 6.232 
                 7.135 
                 0.90243 
                 114.48% 
                 3.988 
                 178.92% 
               
               
                 21 
                 5.800 
                 6.017 
                 0.21647 
                 103.73% 
                 1.263 
                 476.37% 
               
               
                 22 
                 3.647 
                 5.274 
                 1.62764 
                 144.63% 
                 1.263 
                 417.59% 
               
               
                 31 
                 2.503 
                 2.752 
                 0.24891 
                 109.94% 
                 1.484 
                 185.46% 
               
               
                 32 
                 2.082 
                 2.101 
                 0.01974 
                 100.95% 
                 1.484 
                 141.61% 
               
               
                 41 
                 0.998 
                 1.002 
                 0.00448 
                 100.45% 
                 1.721 
                 58.24% 
               
               
                 42 
                 1.337 
                 1.519 
                 0.18197 
                 113.61% 
                 1.721 
                 88.24% 
               
               
                 51 
                 1.297 
                 1.389 
                 0.09182 
                 107.08% 
                 0.675 
                 205.66% 
               
               
                 52 
                 1.663 
                 1.668 
                 0.00504 
                 100.30% 
                 0.675 
                 246.95% 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the third embodiment based on Table 5 and Table 6 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the third embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 4.14073 
                 HIF211/HOI 
                 1.27407 
                 SGI211 
                 0.92847 
                 |SGI211|/(|SGI211| + TP2) 
                 0.42367 
               
               
                 HIF221 
                 3.25142 
                 HIF221/HOI 
                 1.00044 
                 SGI221 
                 2.82156 
                 |SGI221|/(|SGI221| + TP2) 
                 0.69079 
               
               
                 HIF321 
                 0.77707 
                 HIF321/HOI 
                 0.23910 
                 SGI321 
                 −0.01389 
                 |SGI321|/(|SGI321| + TP3) 
                 0.00927 
               
               
                 HIF411 
                 0.84289 
                 HIF411/HOI 
                 0.25935 
                 SGI411 
                 0.07103 
                 |SGI411|/(|SGI411| + TP4) 
                 0.03963 
               
               
                 HIF521 
                 0.72983 
                 HIF521/HOI 
                 0.22456 
                 SGI521 
                 0.05637 
                 |SGI521|/(|SGI521| + TP5) 
                 0.07705 
               
               
                   
               
            
           
         
       
     
     Fourth Embodiment 
     As shown in  FIG. 4A  and  FIG. 4B , an optical image capturing system  40  of the fourth embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  410 , an aperture  400 , a second lens  420 , a third lens  430 , a fourth lens  440 , a fifth lens  450 , an infrared rays filter  480 , an image plane  490 , and an image sensor  492 .  FIG. 4C  is a transverse aberration diagram at 0.7 field of view of the fourth embodiment of the present application. 
     The first lens  410  has negative refractive power and is made of glass. An object-side surface  412  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  414  thereof, which faces the image side, is a concave aspheric surface. 
     The second lens  420  has negative refractive power and is made of plastic. An object-side surface  422  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  424  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  422  and the image-side surface  424  both have an inflection point. 
     The third lens  430  has positive refractive power and is made of plastic. An object-side surface  432  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  434  thereof, which faces the image side, is a convex aspheric surface. The object-side surface  432  has an inflection point. 
     The fourth lens  440  has positive refractive power and is made of plastic. An object-side surface  442 , which faces the object side, is a convex aspheric surface, and an image-side surface  444 , which faces the image side, is a convex aspheric surface. 
     The fifth lens  450  has negative refractive power and is made of plastic. An object-side surface  452 , which faces the object side, is a concave surface, and an image-side surface  454 , which faces the image side, is a concave surface. It may help to shorten the back focal length to keep small in size. 
     The infrared rays filter  480  is made of glass and between the fifth lens  450  and the image plane  490 . The infrared rays filter  480  gives no contribution to the focal length of the system. 
     The optical image capturing system of the second embodiment satisfies |f2|+|f3|+|f4|=20.3233 mm; |f1|+|f5|=14.4968 mm; and |f2|+|f3|+|f4|&gt;|f1|+|f5|, where f1 is a focal length of the first lens  410 , f2 is a focal length of the second lens  420 , f3 is a focal length of the third lens  430 , f4 is a focal length of the fourth lens  440 , and f5 is a focal length of the fifth lens  450 . 
     In the fourth embodiment, the optical image capturing system of the fourth embodiment further satisfies ΣPP=8.85275 mm; and f3/ΣPP=0.49561, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the third lens  430  to the other positive lens to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the fourth embodiment further satisfies ΣNP=−25.96730 mm; and f1/ΣNP=0.41632, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the first lens  410  to other negative lenses. 
     The parameters of the lenses of the fourth embodiment are listed in Table 7 and Table 8. 
     
       
         
           
               
             
               
                 TABLE 7 
               
             
            
               
                   
               
               
                 f = 2.67006 mm; f/HEP = 1.8; HAF = 69.9997 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 95.20661 
                 7.779928 
                 glass 
                 1.7725 
                 49.62 
                 −10.8106 
               
               
                 2 
                   
                 7.42868 
                 15.33653 
                 TAF1 
                   
                   
                   
               
               
                 3 
                 Aperture 
                 plane 
                 −0.15309 
                 plastic 
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 5.36805 
                 1.129431 
                   
                 1.607 
                 26.6 
                 −11.4705 
               
               
                 5 
                   
                 2.7974 
                 0.124765 
                 plastic 
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 3.43634 
                 1.804387 
                   
                 1.565 
                 58 
                 4.38754 
               
               
                 7 
                   
                 −7.28982 
                 1.206457 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 3.65813 
                 1.737963 
                 plastic 
                 1.565 
                 58 
                 4.46521 
               
               
                 9 
                   
                 −6.80087 
                 0.312396 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −5.89778 
                 0.613885 
                 plastic 
                 1.65 
                 21.4 
                 −3.6862 
               
               
                 11 
                   
                 4.2614 
                 0.7 
                   
                   
                   
                   
               
               
                 12 
                 Infrared 
                 plane 
                 0.85 
                   
                 1.517 
                 64.13 
                   
               
               
                   
                 rays 
                   
                   
                   
                   
                   
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 13 
                   
                 plane 
                 1.250999 
                   
                   
                   
                   
               
               
                 14 
                 Image 
                 plane 
                   
                   
                   
                   
                   
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 8 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Surface 
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 k 
                 1.698409 
                 −1.996609 
                 −2.954761 
                 1.183807 
               
               
                 A4 
                 −1.03074E−02 
                 −7.24491E−03 
                 −4.31867E−03  
                 −1.39486E−02 
               
               
                 A6 
                 −1.02374E−03 
                 −2.96856E−04 
                 1.78538E−04 
                  1.57033E−03 
               
               
                 A8 
                  4.42233E−05 
                  8.08904E−05 
                 9.38088E−06 
                 −1.68263E−04 
               
               
                 A10 
                 −1.93844E−05 
                 −2.87226E−06 
                 −1.34457E−06  
                  6.73538E−06 
               
               
                 A12 
                  7.43486E−07 
                 −1.23955E−07 
                 9.08612E−09 
                  2.92408E−07 
               
               
                 A14 
                 −5.21505E−12 
                  1.64886E−08 
                 2.77623E−09 
                 −4.12652E−08 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 Surface 
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                   
                 k 
                 −4.185619 
                 −21.79217 
                 −10.05268 
                 1.760819 
               
               
                   
                 A4 
                 −1.81404E−03  
                 −3.00968E−03 
                  2.06877E−03 
                 2.37006E−03 
               
               
                   
                 A6 
                 3.00621E−04 
                  1.62684E−03 
                 −8.95221E−04 
                 −2.42480E−03  
               
               
                   
                 A8 
                 5.42816E−05 
                 −2.39275E−04 
                 −4.09098E−04 
                 2.56997E−05 
               
               
                   
                 A10 
                 −9.48829E−06  
                 −6.59457E−05 
                  4.07370E−05 
                 8.02185E−06 
               
               
                   
                 A12 
                 2.67535E−07 
                  1.30969E−05 
                 −2.46793E−06 
                 6.02923E−06 
               
               
                   
                 A14 
                 7.22659E−09 
                 −5.48989E−07 
                  5.79423E−07 
                 −1.11235E−06  
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the fourth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the fourth embodiment based on Table 7 and Table 8 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fourth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                 0.24699 
                 0.23278 
                 0.60856 
                 0.59797 
                 0.72434 
                 0.94247 
               
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN45/f 
                 |f2/f3| 
               
               
                 1.20652 
                 1.20410 
                 1.00201 
                 5.68654 
                 0.11700 
                 2.61434 
               
            
           
           
               
               
               
            
               
                 TP3/(IN23 + TP3 + IN34) 
                 (TP1 + IN12)/TP2 
                 (TP5 + IN45)/TP4 
               
               
                 0.57545 
                 20.33179 
                 0.53297 
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 |ODT| % 
                 |TDT| % 
               
               
                 32.69290  
                 29.89270  
                 10.05935  
                 0.29292 
                 −55.693   
                 36.92   
               
               
                 HVT41 
                 HVT42 
                 HVT51 
                 HVT52 
                 HVT52/HOI 
                 HVT52/HOS 
               
               
                 0.00000 
                 0.00000 
                 0.00000 
                 0.00000 
                 0.00000 
                 0.00000 
               
               
                 TP2/TP3 
                 TP3/TP4 
                 InRS51 
                 InRS52 
                 |InRS51|/TP5 
                 |InRS52|/TP5 
               
               
                 0.62593 
                 1.03822 
                 −0.57767  
                  0.649997 
                 0.94101 
                 1.05883 
               
               
                 PLTA 
                 PSTA 
                 NLTA 
                 NSTA 
                 SLTA 
                 SSTA 
               
               
                 0.003 mm 
                 0.003 mm 
                 0.003 mm 
                 −0.013 mm 
                 −0.002 mm 
                 0.011 mm 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 7 and Table 8 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fourth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                 ARE 
                 ARE − 
                 2(ARE/ 
                   
                 ARE/ 
               
               
                 ARE 
                 ½(HEP) 
                 value 
                 ½(HEP) 
                 HEP) % 
                 TP 
                 TP (%) 
               
               
                   
               
               
                 11 
                 0.742 
                 0.741 
                 −0.00067 
                 99.91% 
                 7.780 
                 9.52% 
               
               
                 12 
                 0.742 
                 0.742 
                 0.00055 
                 100.07% 
                 7.780 
                 9.54% 
               
               
                 21 
                 0.742 
                 0.743 
                 0.00139 
                 100.19% 
                 1.129 
                 65.79% 
               
               
                 22 
                 0.742 
                 0.749 
                 0.00711 
                 100.96% 
                 1.129 
                 66.30% 
               
               
                 31 
                 0.742 
                 0.746 
                 0.00452 
                 100.61% 
                 1.804 
                 41.36% 
               
               
                 32 
                 0.742 
                 0.743 
                 0.00095 
                 100.13% 
                 1.804 
                 41.16% 
               
               
                 41 
                 0.742 
                 0.746 
                 0.00392 
                 100.53% 
                 1.738 
                 42.90% 
               
               
                 42 
                 0.742 
                 0.742 
                 0.00065 
                 100.09% 
                 1.738 
                 42.71% 
               
               
                 51 
                 0.742 
                 0.743 
                 0.00107 
                 100.14% 
                 0.614 
                 120.99% 
               
               
                 52 
                 0.742 
                 0.745 
                 0.00327 
                 100.44% 
                 0.614 
                 121.35% 
               
               
                   
               
               
                   
                   
                 ARS 
                 ARS − 
                 (ARS/ 
                   
                 ARS/ 
               
               
                 ARS 
                 EHD 
                 value 
                 EHD 
                 EHD) % 
                 TP 
                 TP (%) 
               
               
                   
               
               
                 11 
                 14.372 
                 14.427 
                 0.05489 
                 100.38% 
                 7.780 
                 185.44% 
               
               
                 12 
                 6.314 
                 7.547 
                 1.23232 
                 119.52% 
                 7.780 
                 97.00% 
               
               
                 21 
                 1.794 
                 1.804 
                 0.01033 
                 100.58% 
                 1.129 
                 159.75% 
               
               
                 22 
                 2.267 
                 2.362 
                 0.09480 
                 104.18% 
                 1.129 
                 209.10% 
               
               
                 31 
                 2.380 
                 2.464 
                 0.08353 
                 103.51% 
                 1.804 
                 136.55% 
               
               
                 32 
                 2.507 
                 2.704 
                 0.19718 
                 107.87% 
                 1.804 
                 149.84% 
               
               
                 41 
                 2.548 
                 2.664 
                 0.11595 
                 104.55% 
                 1.738 
                 153.31% 
               
               
                 42 
                 2.447 
                 2.499 
                 0.05281 
                 102.16% 
                 1.738 
                 143.82% 
               
               
                 51 
                 2.315 
                 2.429 
                 0.11382 
                 104.92% 
                 0.614 
                 395.72% 
               
               
                 52 
                 2.348 
                 2.460 
                 0.11155 
                 104.75% 
                 0.614 
                 400.65% 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the fourth embodiment based on Table 7 and Table 8 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the fourth embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF211 
                 1.17662 
                 HIF211/HOI 
                 0.36204 
                 SGI211 
                 0.11102 
                 |SGI211|/(|SGI211| + TP2) 
                 0.08950 
               
               
                 HIF221 
                 1.65683 
                 HIF221/HOI 
                 0.50979 
                 SGI221 
                 0.39732 
                 |SGI221|/(|SGI221| + TP2) 
                 0.26024 
               
               
                 HIF311 
                 2.17918 
                 HIF311/HOI 
                 0.67052 
                 SGI311 
                 0.51498 
                 |SGI311|/(|SGI311| + TP3) 
                 0.22203 
               
               
                   
               
            
           
         
       
     
     Fifth Embodiment 
     As shown in  FIG. 5A  and  FIG. 5B , an optical image capturing system of the fifth embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  510 , a second lens  520 , an aperture  500 , a third lens  530 , a fourth lens  540 , a fifth lens  550 , an infrared rays filter  580 , an image plane  590 , and an image sensor  592 .  FIG. 5C  is a transverse aberration diagram at 0.7 field of view of the fifth embodiment of the present application. 
     The first lens  510  has negative refractive power and is made of glass. An object-side surface  512 , which faces the object side, is a convex aspheric surface, and an image-side surface  514 , which faces the image side, is a concave aspheric surface. 
     The second lens  520  has negative refractive power and is made of plastic. An object-side surface  522  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  524  thereof, which faces the image side, is a concave aspheric surface. 
     The third lens  530  has positive refractive power and is made of plastic. An object-side surface  532 , which faces the object side, is a convex aspheric surface, and an image-side surface  534 , which faces the image side, is a convex aspheric surface. The object-side surface  532  has an inflection point. 
     The fourth lens  540  has positive refractive power and is made of plastic. An object-side surface  542 , which faces the object side, is a convex aspheric surface, and an image-side surface  544 , which faces the image side, is a convex aspheric surface. The image-side surface  544  has an inflection point. 
     The fifth lens  550  has negative refractive power and is made of plastic. An object-side surface  552 , which faces the object side, is a concave surface, and an image-side surface  554 , which faces the image side, is a concave surface. It may help to shorten the back focal length to keep small in size. 
     The infrared rays filter  580  is made of glass and between the fifth lens  550  and the image plane  590 . The infrared rays filter  580  gives no contribution to the focal length of the system. 
     The optical image capturing system of the second embodiment satisfies |f2|+|f3|+|f4|=29.4982 mm; |f1|+|f5|=14.9635 mm; and |f2|+|f3|+|f4|&gt;|f1|+|f5|, where f2 is a focal length of the second lens  520 , f3 is a focal length of the third lens  530 , f4 is a focal length of the fourth lens  540 , and f5 is a focal length of the fifth lens  550 . 
     In the fifth embodiment, the optical image capturing system of the fifth embodiment further satisfies ΣPP=11.63193 mm; and f3/ΣPP=0.60258, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the third lens  530  to the other positive lens to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the fifth embodiment further satisfies ΣNP=−32.82983 mm; and f1/ΣNP=0.33291, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the first lens  510  to other negative lenses. 
     The parameters of the lenses of the fifth embodiment are listed in Table 9 and Table 10. 
     
       
         
           
               
             
               
                 TABLE 9 
               
             
            
               
                   
               
               
                 f = 2.87199 mm; f/HEP = 1.8; HAF = 70.0001 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 245.986 
                 8 
                 glass 
                 1.617998 
                 63.3959 
                 −10.9295 
               
               
                 2 
                   
                 6.51036 
                 10.50164 
                   
                   
                   
                   
               
               
                 3 
                 2 nd  lens 
                 −16.4871 
                 3.704855 
                 plastic 
                 1.632 
                 23.4 
                 −17.8663 
               
               
                 4 
                   
                 39.92855 
                 0.096415 
                   
                   
                   
                   
               
               
                 5 
                 Aperture 
                 plane 
                 0.103798 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 10.43694 
                 1.892628 
                 plastic 
                 1.565 
                 58 
                 7.00919 
               
               
                 7 
                   
                 −5.99334 
                 0.05 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 3.92411 
                 3.000401 
                 plastic 
                 1.565 
                 58 
                 4.62274 
               
               
                 9 
                   
                 −5.70359 
                 0.135004 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −6.12175 
                 0.629304 
                 plastic 
                 1.65 
                 21.4 
                 −4.03403 
               
               
                 11 
                   
                 4.84381 
                 0.7 
                   
                   
                   
                   
               
               
                 12 
                 Infrared 
                 plane 
                 0.85 
                   
                 1.517 
                 64.13 
                   
               
               
                   
                 rays 
                   
                   
                   
                   
                   
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 13 
                   
                 plane 
                 2.16280 
                   
                   
                   
                   
               
               
                 14 
                 Image 
                 plane 
                   
                   
                   
                   
                   
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 10 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Surface 
                 3 
                 4 
                 6 
                 7 
               
               
                   
               
               
                 k 
                 32.605077 
                 24.689602 
                 −17.845907 
                 −2.217866 
               
               
                 A4 
                 −2.92608E−03 
                 −1.43322E−03 
                  3.24855E−03 
                 −1.42451E−03 
               
               
                 A6 
                 −1.17831E−05 
                  2.79070E−04 
                 −2.71009E−04 
                  1.79245E−05 
               
               
                 A8 
                  5.31561E−05 
                  2.13513E−05 
                  2.78412E−05 
                 −2.83657E−05 
               
               
                 A10 
                 −8.44462E−06 
                 −2.94620E−06 
                 −5.57617E−06 
                 −4.03031E−07 
               
               
                 A12 
                  7.43485E−07 
                 −6.32108E−08 
                  1.24990E−11 
                  2.86041E−07 
               
               
                 A14 
                 −5.21505E−12 
                  1.64885E−08 
                 −2.66710E−16 
                 −4.12385E−08 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 Surface 
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                   
                 k 
                 −0.503414 
                 −2.42648 
                 4.117109 
                 3.027811 
               
               
                   
                 A4 
                 −1.03737E−03  
                 −2.72250E−03 
                 2.70682E−03 
                  6.81434E−03 
               
               
                   
                 A6 
                 1.73682E−04 
                  1.69583E−03 
                 6.32228E−04 
                 −1.83641E−03 
               
               
                   
                 A8 
                 3.99807E−06 
                 −5.85812E−05 
                 −2.01844E−04  
                  8.21925E−05 
               
               
                   
                 A10 
                 −2.43309E−06  
                 −7.80553E−05 
                 1.28782E−05 
                 −2.25961E−05 
               
               
                   
                 A12 
                 2.64171E−07 
                  1.30969E−05 
                 −2.46793E−06  
                  6.02923E−06 
               
               
                   
                 A14 
                 7.22658E−09 
                 −5.48989E−07 
                 5.79422E−07 
                 −1.11235E−06 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the fifth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the fifth embodiment based on Table 9 and Table 10 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fifth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                 0.26277 
                 0.16075 
                 0.40975 
                 0.62127 
                 0.71194 
                 0.61174 
               
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN45/f 
                 |f2/f3| 
               
               
                 1.03102 
                 1.13546 
                 0.90802 
                 3.65656 
                 0.04701 
                 2.54898 
               
            
           
           
               
               
               
            
               
                 TP3/(IN23 + TP3 + IN34) 
                 (TP1 + IN12)/TP2 
                 (TP5 + IN45)/TP4 
               
               
                 0.88323 
                 4.99387 
                 0.25474 
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 |ODT| % 
                 |TDT| % 
               
               
                 31.82680  
                 28.11400  
                 9.79286 
                 0.29924 
                 −58.837   
                 40.9169  
               
               
                 HVT41 
                 HVT42 
                 HVT51 
                 HVT52 
                 HVT52/HOI 
                 HVT52/HOS 
               
               
                 0.00000 
                 0.00000 
                 0.00000 
                 0.00000 
                 0.00000 
                 0.00000 
               
               
                 TP2/TP3 
                 TP3/TP4 
                 InRS51 
                 InRS52 
                 |InRS51|/TP5 
                 |InRS52|/TP5 
               
               
                 1.95752 
                 0.63079 
                 −0.513763 
                 0.65003 
                 0.81640 
                 1.03293 
               
               
                 PLTA 
                 PSTA 
                 NLTA 
                 NSTA 
                 SLTA 
                 SSTA 
               
               
                 0.001 mm 
                 0.0004 mm 
                 0.006 mm 
                 −0.015 mm 
                 −0.004 mm 
                 0.008 mm 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 9 and Table 10 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Fifth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                 ARE 
                 ARE − 
                 2(ARE/ 
                   
                 ARE/ 
               
               
                 ARE 
                 ½(HEP) 
                 value 
                 ½(HEP) 
                 HEP) % 
                 TP 
                 TP (%) 
               
               
                   
               
               
                 11 
                 0.798 
                 0.797 
                 −0.00078 
                 99.90% 
                 8.000 
                 9.96% 
               
               
                 12 
                 0.798 
                 0.799 
                 0.00123 
                 100.15% 
                 8.000 
                 9.99% 
               
               
                 21 
                 0.798 
                 0.797 
                 −0.00040 
                 99.95% 
                 3.705 
                 21.52% 
               
               
                 22 
                 0.798 
                 0.797 
                 −0.00073 
                 99.91% 
                 3.705 
                 21.51% 
               
               
                 31 
                 0.798 
                 0.798 
                 0.00003 
                 100.00% 
                 1.893 
                 42.15% 
               
               
                 32 
                 0.798 
                 0.799 
                 0.00160 
                 100.20% 
                 1.893 
                 42.24% 
               
               
                 41 
                 0.798 
                 0.802 
                 0.00468 
                 100.59% 
                 3.000 
                 26.74% 
               
               
                 42 
                 0.798 
                 0.800 
                 0.00184 
                 100.23% 
                 3.000 
                 26.65% 
               
               
                 51 
                 0.798 
                 0.799 
                 0.00146 
                 100.18% 
                 0.629 
                 127.00% 
               
               
                 52 
                 0.798 
                 0.801 
                 0.00337 
                 100.42% 
                 0.629 
                 127.31% 
               
               
                   
               
               
                   
                   
                 ARS 
                 ARS − 
                 (ARS/ 
                   
                 ARS/ 
               
               
                 ARS 
                 EHD 
                 value 
                 EHD 
                 EHD) % 
                 TP 
                 TP (%) 
               
               
                   
               
               
                 11 
                 13.824 
                 13.831 
                 0.00707 
                 100.05% 
                 8.000 
                 172.89% 
               
               
                 12 
                 5.534 
                 6.615 
                 1.08075 
                 119.53% 
                 8.000 
                 82.68% 
               
               
                 21 
                 2.392 
                 2.419 
                 0.02732 
                 101.14% 
                 3.705 
                 65.29% 
               
               
                 22 
                 1.972 
                 1.973 
                 0.00032 
                 100.02% 
                 3.705 
                 53.25% 
               
               
                 31 
                 2.232 
                 2.251 
                 0.01877 
                 100.84% 
                 1.893 
                 118.93% 
               
               
                 32 
                 2.545 
                 2.650 
                 0.10477 
                 104.12% 
                 1.893 
                 139.99% 
               
               
                 41 
                 2.775 
                 3.049 
                 0.27386 
                 109.87% 
                 3.000 
                 101.62% 
               
               
                 42 
                 2.391 
                 2.439 
                 0.04855 
                 102.03% 
                 3.000 
                 81.29% 
               
               
                 51 
                 2.348 
                 2.426 
                 0.07839 
                 103.34% 
                 0.629 
                 385.57% 
               
               
                 52 
                 2.196 
                 2.326 
                 0.12960 
                 105.90% 
                 0.629 
                 369.55% 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the fifth embodiment based on Table 9 and Table 10 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the fifth embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF311 
                 2.10316 
                 HIF311/HOI 
                 0.64713 
                 SGI311 
                 0.22577 
                 |SGI311|/(|SGI311| + TP3) 
                 0.10658 
               
               
                 HIF421 
                 2.21841 
                 HIF421/HOI 
                 0.68259 
                 SGI421 
                 −0.38618 
                 |SGI421|/(|SGI421| + TP4) 
                 0.11403 
               
               
                   
               
            
           
         
       
     
     Sixth Embodiment 
     As shown in  FIG. 6A  and  FIG. 6B , an optical image capturing system of the sixth embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  610 , a second lens  620 , an aperture  600 , a third lens  630 , a fourth lens  640 , a fifth lens  650 , an infrared rays filter  680 , an image plane  690 , and an image sensor  692 .  FIG. 6C  is a transverse aberration diagram at 0.7 field of view of the sixth embodiment of the present application. 
     The first lens  610  has negative refractive power and is made of glass. An object-side surface  612 , which faces the object side, is a convex aspheric surface, and an image-side surface  614 , which faces the image side, is a concave aspheric surface. 
     The second lens  620  has negative refractive power and is made of plastic. An object-side surface  622  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  624  thereof, which faces the image side, is a concave aspheric surface. 
     The third lens  630  has positive refractive power and is made of plastic. An object-side surface  632 , which faces the object side, is a convex aspheric surface, and an image-side surface  634 , which faces the image side, is a convex aspheric surface. 
     The fourth lens  640  has positive refractive power and is made of plastic. An object-side surface  642 , which faces the object side, is a convex aspheric surface, and an image-side surface  644 , which faces the image side, is a convex aspheric surface. The image-side surface  644  has an inflection point. 
     The fifth lens  650  has negative refractive power and is made of plastic. An object-side surface  652 , which faces the object side, is a concave surface, and an image-side surface  654 , which faces the image side, is a concave surface. The object-side surface  652  and the image-side surface  654  both have an inflection point. It may help to shorten the back focal length to keep small in size. In addition, it may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view. 
     The infrared rays filter  680  is made of glass and between the fifth lens  650  and the image plane  690 . The infrared rays filter  680  gives no contribution to the focal length of the system. 
     The optical image capturing system of the second embodiment satisfies |f2|+|f3|+|f4|=28.4570 mm; |f1|+|f5|=14.4743 mm; and |f2|+|f3|+|f4|&gt;|f1|+|f5|, where f2 is a focal length of the second lens  620 , f3 is a focal length of the third lens  630 , f4 is a focal length of the fourth lens  640 , and f5 is a focal length of the fifth lens  650 . 
     In the sixth embodiment, the first lens  610 , the third lens  630 , and the fourth lenses  640  are positive lenses, and their focal lengths are f1, f3, and f4. The optical image capturing system of the sixth embodiment further satisfies ΣPP=11.43336 mm; and f3/ΣPP=0.60909, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the third lens  630  to the other positive lens to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the sixth embodiment further satisfies ΣNP=−31.49794 mm; and f1/ΣNP=0.33471, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the first lens  610  to other negative lenses to avoid the significant aberration caused by the incident rays. 
     The parameters of the lenses of the sixth embodiment are listed in Table 11 and Table 12. 
     
       
         
           
               
             
               
                 TABLE 11 
               
             
            
               
                   
               
               
                 f = 2.86808 mm; f/HEP = 2.4; HAF = 69.9999 deg 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 1 st  lens 
                 256.4659 
                 8 
                 glass 
                 1.617998 
                 63.3959 
                 −10.5428 
               
               
                 2 
                   
                 6.29582 
                 10.61773 
                 PCD4 
                   
                   
                   
               
               
                 3 
                 2 nd  lens 
                 −16.8718 
                 3.690573 
                 plastic 
                 1.607 
                 26.6 
                 −17.0236 
               
               
                 4 
                   
                 29.3861 
                 0.088815 
                   
                   
                   
                   
               
               
                 5 
                 Aperture 
                 plane 
                 0.12187 
                 plastic 
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 9.57049 
                 2.045365 
                   
                 1.565 
                 58 
                 6.96392 
               
               
                 7 
                   
                 −6.19802 
                 0.058139 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 3.86559 
                 2.902047 
                 plastic 
                 1.565 
                 58 
                 4.46944 
               
               
                 9 
                   
                 −5.3534 
                 0.130267 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −6.17983 
                 0.480965 
                 plastic 
                 1.65 
                 21.4 
                 −3.93154 
               
               
                 11 
                   
                 4.55617 
                 0.7 
                   
                   
                   
                   
               
               
                 12 
                 Infrared 
                 plane 
                 0.85 
                   
                 1.517 
                 64.13 
                   
               
               
                   
                 rays 
                   
                   
                   
                   
                   
                   
               
               
                   
                 filter 
                   
                   
                   
                   
                   
                   
               
               
                 13 
                   
                 plane 
                 2.450981 
                   
                   
                   
                   
               
               
                 14 
                 Image 
                 plane 
                   
                   
                   
                   
                   
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 12 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Surface 
                 3 
                 4 
                 6 
                 7 
               
               
                   
               
               
                 k 
                 34.903102 
                 50 
                 −19.218092 
                 −1.166364 
               
               
                 A4 
                 −1.92768E−03 
                 −8.60884E−04 
                  2.69932E−03 
                 −1.91005E−03 
               
               
                 A6 
                  1.06277E−05 
                  1.47712E−04 
                 −4.59967E−04 
                 −4.59532E−05 
               
               
                 A8 
                  5.66631E−05 
                  1.92867E−04 
                  1.51443E−04 
                  5.91876E−10 
               
               
                 A10 
                 −8.68624E−06 
                 −2.21699E−05 
                 −9.24736E−06 
                  2.21519E−06 
               
               
                 A12 
                  7.43485E−07 
                 −6.32108E−08 
                  1.24990E−11 
                  2.86041E−07 
               
               
                 A14 
                 −5.21505E−12 
                  1.64885E−08 
                 −2.66710E−16 
                 −4.12385E−08 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 Surface 
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                   
                 k 
                 −0.418646 
                 −3.009454 
                 3.790631 
                 2.625393 
               
               
                   
                 A4 
                 −8.46687E−04  
                 −2.34919E−03 
                 2.06907E−03 
                  6.52888E−03 
               
               
                   
                 A6 
                 2.39114E−04 
                  1.69925E−03 
                 3.54119E−04 
                 −1.86925E−03 
               
               
                   
                 A8 
                 9.85747E−06 
                 −1.38847E−04 
                 −2.05407E−04  
                  9.27484E−05 
               
               
                   
                 A10 
                 4.02814E−07 
                 −5.56090E−05 
                 1.47078E−05 
                 −2.92548E−05 
               
               
                   
                 A12 
                 2.64171E−07 
                  1.30969E−05 
                 −2.46793E−06  
                  6.02923E−06 
               
               
                   
                 A14 
                 7.22658E−09 
                 −5.48989E−07 
                 5.79422E−07 
                 −1.11235E−06 
               
               
                   
               
            
           
         
       
     
     An equation of the aspheric surfaces of the sixth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     The exact parameters of the sixth embodiment based on Table 11 and Table 12 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Sixth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 |f/f1| 
                 |f/f| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                 0.27204 
                 0.16848 
                 0.41185 
                 0.64171 
                 0.72951 
                 0.61930 
               
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/|ΣNPR| 
                 IN12/f 
                 IN45/f 
                 |f2/f3| 
               
               
                 1.05356 
                 1.17002 
                 0.90046 
                 3.70202 
                 0.04542 
                 2.44454 
               
            
           
           
               
               
               
            
               
                 TP3/(IN23 + TP3 + IN34) 
                 (TP1 + IN12)/TP2 
                 (TP5 + IN45)/TP4 
               
               
                 0.88384 
                 5.04467 
                 0.21062 
               
            
           
           
               
               
               
               
               
               
            
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 |ODT| % 
                 |TDT| % 
               
               
                 32.13680  
                 28.13580  
                 9.88825 
                 0.30307 
                 −58.7728   
                 40.935   
               
               
                 HVT41 
                 HVT42 
                 HVT51 
                 HVT52 
                 HVT52/HOI 
                 HVT52/HOS 
               
               
                 0.00000 
                 0.00000 
                 0.00000 
                 0.00000 
                 0.00000 
                 0.00000 
               
               
                 TP2/TP3 
                 TP3/TP4 
                 InRS51 
                 InRS52 
                 |InRS51|/TP5 
                 |InRS52|/TP5 
               
               
                 1.80435 
                 0.70480 
                 −0.368352 
                  0.529598 
                 0.76586 
                 1.10112 
               
               
                 PLTA 
                 PSTA 
                 NLTA 
                 NSTA 
                 SLTA 
                 SSTA 
               
               
                 −0.00021 mm 
                 0.006 mm 
                 0.005 mm 
                 −0.008 mm 
                 −0.003 mm 
                 0.008 mm 
               
               
                   
               
            
           
         
       
     
     The figures related to the profile curve lengths obtained based on Table 11 and Table 12 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Sixth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                 ARE 
                 ARE − 
                 2(ARE/ 
                   
                 ARE/ 
               
               
                 ARE 
                 ½(HEP) 
                 value 
                 ½(HEP) 
                 HEP) % 
                 TP 
                 TP (%) 
               
               
                   
               
               
                 11 
                 0.598 
                 0.597 
                 −0.00052 
                 99.91% 
                 8.000 
                 7.46% 
               
               
                 12 
                 0.598 
                 0.598 
                 0.00038 
                 100.06% 
                 8.000 
                 7.47% 
               
               
                 21 
                 0.598 
                 0.597 
                 −0.00038 
                 99.94% 
                 3.691 
                 16.18% 
               
               
                 22 
                 0.598 
                 0.597 
                 −0.00048 
                 99.92% 
                 3.691 
                 16.18% 
               
               
                 31 
                 0.598 
                 0.597 
                 −0.00013 
                 99.98% 
                 2.045 
                 29.21% 
               
               
                 32 
                 0.598 
                 0.598 
                 0.00042 
                 100.07% 
                 2.045 
                 29.23% 
               
               
                 41 
                 0.598 
                 0.599 
                 0.00186 
                 100.31% 
                 2.902 
                 20.65% 
               
               
                 42 
                 0.598 
                 0.598 
                 0.00072 
                 100.12% 
                 2.902 
                 20.61% 
               
               
                 51 
                 0.598 
                 0.598 
                 0.00041 
                 100.07% 
                 0.481 
                 124.32% 
               
               
                 52 
                 0.598 
                 0.599 
                 0.00133 
                 100.22% 
                 0.481 
                 124.51% 
               
               
                   
               
               
                   
                   
                 ARS 
                 ARS − 
                 (ARS/ 
                   
                 ARS/ 
               
               
                 ARS 
                 EHD 
                 value 
                 EHD 
                 EHD) % 
                 TP 
                 TP (%) 
               
               
                   
               
               
                 11 
                 13.547 
                 13.552 
                 0.00561 
                 100.04% 
                 8.000 
                 169.40% 
               
               
                 12 
                 5.352 
                 6.396 
                 1.04382 
                 119.50% 
                 8.000 
                 79.95% 
               
               
                 21 
                 2.104 
                 2.116 
                 0.01121 
                 100.53% 
                 3.691 
                 57.33% 
               
               
                 22 
                 1.475 
                 1.475 
                 0.00016 
                 100.01% 
                 3.691 
                 39.96% 
               
               
                 31 
                 1.638 
                 1.646 
                 0.00781 
                 100.48% 
                 2.045 
                 80.49% 
               
               
                 32 
                 2.071 
                 2.118 
                 0.04643 
                 102.24% 
                 2.045 
                 103.55% 
               
               
                 41 
                 2.349 
                 2.525 
                 0.17570 
                 107.48% 
                 2.902 
                 87.00% 
               
               
                 42 
                 2.060 
                 2.094 
                 0.03410 
                 101.66% 
                 2.902 
                 72.15% 
               
               
                 51 
                 2.014 
                 2.061 
                 0.04699 
                 102.33% 
                 0.481 
                 428.58% 
               
               
                 52 
                 1.963 
                 2.060 
                 0.09663 
                 104.92% 
                 0.481 
                 428.32% 
               
               
                   
               
            
           
         
       
     
     The results of the equations of the sixth embodiment based on Table 11 and Table 12 are listed in the following table: 
     
       
         
           
               
             
               
                   
               
               
                 Values related to the inflection points of the sixth embodiment 
               
               
                 (Reference wavelength: 555 nm) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 HIF421 
                 1.81664 
                 HIF421/HOI 
                 0.55897 
                 SGI421 
                 −0.28038 
                 |SGI421|/(|SGI421| + TP4) 
                 0.08810 
               
               
                   
               
            
           
         
       
     
     It must be pointed out that the embodiments described above are only some embodiments of the present invention. All equivalent structures which employ the concepts disclosed in this specification and the appended claims should fall within the scope of the present invention.