Abstract:
An embodiment of a system and method produces a random half pitched interconnect layout. A first normal-pitch mask and a second normal-pitch mask are created from a metallization layout having random metal shapes. The lines and spaces of the first mask are printed at normal pitch and then the lines are shrunk to half pitch on mask material. First spacers are used to generate a half pitch dimension along the outside of the lines of the first mask. The mask material outside of the first spacer pattern is partially removed. The spacers are removed and the process is repeated with the second mask. The mask material remains at the locations of first set of spacers and/or the second set of spacers to create a half pitch interconnect mask with constant spaces.

Description:
PRIORITY APPLICATION 
       [0001]    This application is a divisional of U.S. patent application Ser. No. 11/216,613, filed Aug. 30, 2005. 
     
    
     BACKGROUND OF THE INVENTION 
       [0002]    1. Field of the Invention 
         [0003]    The invention relates generally to semiconductor devices and particularly to systems and methods of forming interconnect layouts for semiconductor devices. 
         [0004]    2. Description of the Related Art 
         [0005]    A semiconductor device includes many electronic components, such as transistors, resistors, or diodes, for example. A metallized interconnect layer interconnects the electronic components to form larger circuit components such as gates, cells, memory units, arithmetic units, controllers, or decoders, for example, on the semiconductor device. 
         [0006]    To form the interconnect layer, in one implementation, a layer of metal is deposited on the semiconductor device. A photolithographic masking process is then performed to mask off the areas where the metal should remain, according to an interconnect layout. Then, a metal etch is performed to remove the excess metal. This leaves the metallization contacting those areas of the semiconductor device required by design. 
         [0007]    To form the mask used in the photolithographic masking process, a photosensitive film is deposited on a layer of hardmask. An optical image of the interconnect layout is transferred to the photoresist by projecting a form of radiation, typically ultraviolet radiation, through the transparent portions of a mask plate or reticule. A photochemical reaction alters the solubility of the regions of the photoresist exposed to the radiation. The photoresist is washed with a solvent known as developer to preferentially remove the regions of higher solubility, followed by curing the remaining regions of the photoresist. Those remaining regions of the photoresist are highly resistant to attack by an etching agent that is capable of removing the hardmask. The portions of the hardmask exposed by the removal of the photoresist are etched away to define the patterned hardmask. Portions of the metal layer exposed by the removal of the hardmask are then etched away to define the metallization interconnect layer. 
         [0008]    Semiconductor device designers often desire to increase the level of integration or density of elements within the semiconductor device by reducing the separation distance between neighboring elements, and thus, between interconnect lines. 
         [0009]    Unfortunately, the minimum lateral dimension that can be achieved for a patterned photoresist feature is limited by, among other things, the resolution of the optical system used to project the image onto the photoresist. The term “resolution” describes the ability of an optical system to distinguish closely spaced objects. 
         [0010]    Processes using pitch multiplication can be used to reduce the minimum printable feature of a photoresist mask, when the mask consists of an array of parallel lines. However, it is difficult to achieve this for metallization masks comprising random shapes. It is also difficult control a constant spacing between the metal nodes of the interconnect layer comprising random shapes since spacers can only be defined around a resist feature. 
       SUMMARY OF THE INVENTION 
       [0011]    In an embodiment, two normal pitched masks are generated from a half pitched design of an interconnect layout having random shapes. The conductor areas or shapes of the interconnect layout are divided into four groups or designations (m 1 , m 2 , m 3 , m 4 ) using the rule that shapes of the same designation cannot be next to each other. Two reticles are generated from the layout. Each reticle uses two of the four designated shapes such that one designation is common to both reticles, one designation is not used in either reticle, and each reticle uses one designation not used in the other reticle. The shapes are sized by 0.5 F to become printable shapes, and the spaces shrink by 0.5F. In an embodiment, the spaces are larger than 1.5F due to the rule that two shapes of the same designation cannot be next to each other. 
         [0012]    In an embodiment, a method of creating two normal pitch masks from a half pitched interconnect layout comprises generating a half pitched interconnect layout comprising shapes, and designating each shape one of a first designation, a second designation, a third designation and a fourth designation such that shapes of the same designation are not adjacent. The method further comprises creating a first mask containing shapes having any two of the first, second, third, and fourth designations, and creating a second mask containing shapes having any one of the designations included in the first mask and any one of the designations not included in the first mask. 
         [0013]    In an embodiment, two normal pitched masks comprising random shapes are used to generate an interconnect mask having half pitched features. The interconnect mask can be used to produce an interconnect layer on a semiconductor device comprising a layer of hardmask. The line/space pattern of a first mask is printed on a semiconductor device at the normal pitch, where the normal feature size of the lines is F and the normal feature size of the gaps is F. The lines are isotropically etched to shrink the size by 0.5F. The gaps grow to 1.5F. The line is etched into a layer of the semiconductor device. Spacers are then deposited at the outside of each line. The line is removed and the spacer pattern is transferred to the hardmask by etching. The hardmask is etched such that the thickness of the hardmask not covered by a spacer is reduced by half of the original thickness. This process is repeated using a second mask. The hard mask is removed in areas that were not covered by the spacer pattern of either the first or the second mask. The remaining hardmask forms a pattern for the formation of an interconnect layer having constant spacing between nodes. 
         [0014]    In an embodiment, a method of forming an interconnect mask comprises applying a first mask to a semiconductor device comprising a hardmask layer having a thickness, forming over the hardmask layer first spacers outside of first lines associated with the first mask, and removing approximately half of the thickness of the hardmask not covered by the first spacers to form a patterned hardmask. The method further comprises applying a second mask to the semiconductor device over the patterned hardmask, forming over the patterned hardmask second spacers outside of second lines associated with the second mask, and removing approximately half of the thickness of the patterned hardmask not covered by the second spacers. 
         [0015]    In another embodiment, two normal pitched masks are created from a half pitched interconnect layout comprising semi-random shapes and a non-conductor periphery. The conductor areas or shapes of the interconnect layout are divided into three groups or designations (m 1 , m 2 , m 3 ), and the non-conductor periphery of the layout is assigned a fourth designation (m 4 ). The shapes are designated are designated using the rule that shapes having the same designation cannot be next to each other. If this is not possible, dummy shapes designated as m 4  are introduced such that no two adjacent shapes have the same designation. Two reticles are generated from the layout. Each reticle uses two of the four designations such that one designation is common to both reticles, the m 4  designation is not used in either reticle, and each reticle uses one designation not used by the other. The shapes are sized by 0.5F to become printable shapes, and the gaps shrink by 0.5F. In an embodiment, the gaps are larger than 1.5F due to the rule that two shapes of the same designation cannot be next to each other. 
         [0016]    In an embodiment, a method of creating two normal pitch masks from a half pitch interconnect layout comprises generating an interconnect layout comprising shapes and a periphery, assigning each shape one of a first designation, a second designation, and a third designation, and assigning the periphery a fourth designation. The method further comprises introducing separators into the interconnect layout such that shapes having the same designation are not adjacent, wherein the separators are assigned the fourth designation, creating a first mask containing the shapes having any two of the first, second, and third designations, and creating a second mask containing shapes having any one of the first, second, and third designations contained in the first mask and any one of the first, second, and third designations not included in the first mask. 
         [0017]    In an embodiment, two normal pitched masks having semi-random shapes and a non-conductor periphery are used to generate an interconnect mask having half pitched features. The interconnect mask can be used to produce an interconnect layer on a semiconductor device having a layer of hardmask. The line/space pattern of a first mask is printed on a semiconductor device at the normal pitch, where the normal feature size of the lines is F and the normal feature size of the gaps is F. The line is isotropically etched to shrink the size by 0.5F. The gaps grow to 1.5F. The line is etched into a layer of the semiconductor device. Spacers are deposited at the outside of each line. The material outside the spacer/line pattern is removed and an over etch by a first amount is etched into the hardmask. The line is removed and an over etch of a second amount is etched into the hardmask. The spacers are removed. 
         [0018]    The area of the hardmask covered by the spacers is unchanged. The height of the hardmask outside the spacers is reduced by the amount of the first over etch. The height of the hardmask inside the spacers is reduced by the amount of the second over etch. 
         [0019]    The process is repeated with a second mask. Depending on the thickness of the hardmask and the amounts of the first and second over etches, the amount of hardmask remaining on the semiconductor can be controlled. The remaining hardmask forms a pattern for the formation of an interconnect layer having constant spacing between nodes. 
         [0020]    In an embodiment, a method of forming an interconnect mask comprises applying a first mask to a semiconductor device comprising a layer of a hardmask, forming over the hardmask first spacers beside first lines associated with the first mask to form a first spacer/line pattern, and removing a first amount of the hardmask outside the first spacer/line pattern and removing a second amount of the hardmask inside the first spacers to form a patterned hardmask. The method further comprises applying a second mask to the patterned hardmask, forming over the patterned hardmask second spacers beside second lines associated with the second mask to form a second spacer/line pattern, and removing a third amount of the hardmask outside the second spacer/line pattern and removing a fourth amount of the hardmask inside the second spacers. 
         [0021]    For purposes of summarizing the invention, certain aspects, advantages, and novel features of the invention have been described herein. It is to be understood that not necessarily all such advantages may be achieved in accordance with any particular embodiment of the invention. Thus, the invention may be embodied or carried out in a manner that achieves or optimizes one advantage or group of advantages as taught herein without necessarily achieving other advantages as may be taught or suggested herein. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0022]    A general architecture that implements the various features of the invention will now be described with reference to the drawings. The drawings and the associated descriptions are provided to illustrate embodiments of the invention and not to limit the scope of the invention. Throughout the drawings, reference numbers are re-used to indicate correspondence between referenced elements. In addition, the first digit of each reference number indicates the figure in which the element first appears. 
           [0023]      FIG. 1  illustrates a top plan view of an exemplary embodiment of a half pitched interconnect layout comprising random shapes. 
           [0024]      FIG. 2  illustrates a top plan view of an embodiment of the half pitched interconnect layout of  FIG. 1  partitioned into four designations, m 1 , m 2 , m 3 , and m 4 . 
           [0025]      FIG. 3  illustrates a top plan view of an embodiment of a first mask to be applied to a semiconductor device where the mask includes two of the four designations. 
           [0026]      FIG. 4  illustrates a top plan view of an embodiment of a second mask to be applied to a semiconductor device, where the mask includes one designation which is common to the first mask and one designation which is excluded from first mask. 
           [0027]      FIG. 5  illustrates a flow chart of an embodiment of the process to produce two standard pitch masks from a half pitched interconnect layout comprising random shapes. 
           [0028]      FIG. 6  illustrates a perspective view of an embodiment of a semiconductor device after the formation of additional semiconductor processing layers in which an interconnect layer can be formed. Views taken along line A-A show a cross-section of the semiconductor device. 
           [0029]      FIG. 7  illustrates a cross-sectional view taken along line A-A of an embodiment of the device of  FIG. 6  after printing, shrinking, and etching the pattern from the mask of  FIG. 3 . 
           [0030]      FIG. 8  illustrates a cross-sectional view taken along line A-A of an embodiment of the device of  FIG. 7  after depositing spacers. 
           [0031]      FIG. 9  illustrates a cross-sectional view taken along line A-A of an embodiment of the device of  FIG. 8  after removing the lines and transferring the spacer pattern to the hardmask. 
           [0032]      FIG. 10  illustrates a cross-sectional view taken along line A-A of an embodiment of the device of  FIG. 9  after printing, shrinking, and etching the pattern from the mask of  FIG. 4 . 
           [0033]      FIG. 11  illustrates a cross-sectional view taken along line A-A of an embodiment of the device of  FIG. 10  after depositing spacers. 
           [0034]      FIG. 12  illustrates a cross-sectional view taken along line A-A of an embodiment of the device of  FIG. 11  after removing the lines and transferring the spacer pattern to the hardmask. 
           [0035]      FIG. 13  illustrates a top plan view of an embodiment of an interconnect layer produced from the patterned hardmask layer of  FIG. 12 . 
           [0036]      FIG. 14  illustrates a top plan view of an exemplary embodiment of a half pitched interconnect layout comprising semi-random shapes. 
           [0037]      FIG. 15  illustrates a top plan view of an embodiment of the interconnect layout of  FIG. 14  partitioned into four designations, m 1 , m 2 , m 3 , and m 4 , where dummy m 4  shapes are introduced to satisfy the condition that no two shapes of the same designations are next to each other. 
           [0038]      FIG. 16  illustrates a top plan view of another exemplary embodiment of a half pitched interconnect layout comprising semi-random shapes. 
           [0039]      FIG. 17  illustrates a top plan view of an embodiment of the interconnect layout of  FIG. 16  partitioned into four designations, m 1 , m 2 , m 3 , and m 4 , where dummy m 4  shapes are introduced to satisfy the condition that no two shapes of the same designations are next to each other. 
           [0040]      FIG. 18  illustrates a flow chart of an embodiment of the process to produce two standard pitch masks from a half pitched layout comprising semi-random shapes and non-conductor peripheral areas. 
           [0041]      FIG. 19  illustrates a cross-sectional view taken along line A-A of another embodiment of the device of  FIG. 6  after from printing, shrinking, and etching a first mask generated from the layout of  FIG. 15  or  17 , depositing spacers, and etching the hardmask outside the spacer/line pattern by a first amount. 
           [0042]      FIG. 20  illustrates a cross-sectional view taken along line A-A of an embodiment of the device of  FIG. 19  after removing the line material, etching the hardmask inside the spacers by a second amount, removing the spacers, and depositing an additional semiconductor processing layer. 
           [0043]      FIG. 21  illustrates a cross-sectional view taken along line A-A of an embodiment of the device of  FIG. 20  after printing, shrinking, and etching a second mask generated from the layout of  FIG. 15  or  17 , depositing spacers, and etching the hardmask outside the spacer/line pattern by the first amount. 
           [0044]      FIG. 22  illustrates a cross-sectional view taken along line A-A of an embodiment of the device of  FIG. 21  after removing the lines, and etching the hardmask inside the spacer pattern by the second amount. 
           [0045]      FIG. 23  illustrates a cross-sectional view taken along line A-A of an embodiment of the device of  FIG. 22  after removing the spacers and any material remaining from the additional processing layers. 
           [0046]      FIG. 24  is a table having exemplary values for the thickness of the hardmask, the first etch amount, and the second etch amount, which illustrates how the thickness of the hardmask and the first and second etch amounts may control the formation of the interconnect mask in an embodiment. 
       
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT 
       [0047]    For a more detailed understanding of the invention, reference is first made to  FIG. 1 .  FIG. 1  illustrates a top plan view of an exemplary embodiment of a half pitched interconnect layout  100  comprising random shapes  102 . This layout  100  represents a desired pattern of conductive traces to be formed on the semi-conductor circuit. The half pitched interconnect layout  100  cannot be used directly to form a mask used in a photolithographic process to create an interconnect layer because the pitch is smaller than the minimum printable feature of a mask, where F is defined as the minimum printable size. It is understood that, due to the limitations of photolithography, there is a minimum distance at which the photoresist cannot be exposed. A normal pitch is defined as having a size of F, and a half pitch is defined as having a size of 0.5F. 
         [0048]    In order to print the features of the interconnect layout  100  photolithographically on a semiconductor device, two normal pitched masks are generated from the interconnect layout  100 . These two normal pitch masks are then used to construct an interconnect structure having a pitch that is less than the minimum pitch F. 
         [0049]      FIG. 2  illustrates the half pitched layout  100  of  FIG. 1  where the random shapes  102  have been labeled m 1 , m 2 , m 3 , or m 4 . In this particular implementation, the shapes, m 1 , m 2 , m 3 , m 4 , are labeled such that no shapes of the same designation can be next to each other. 
         [0050]    In the embodiment illustrated in  FIG. 2 , the shapes  102  designated as m 1  are indicated by a right slanted 45° hatching. The shapes  102  designated as m 2  are indicated by a left slanted 45° hatching. The shapes  102  designated as m 3  are indicated by vertical lines, and the shapes  102  designated as m 4  are indicated by horizontal lines. 
         [0051]    A first mask  300  is generated using any two of the designations m 1 , m 2 , m 3 , m 4  of the shapes  102 .  FIG. 3  illustrates a top plan view of an embodiment of a first mask  300  to be applied to a semiconductor device. The mask  300  includes shapes  102  having two of the four designations. The embodiment illustrated in  FIG. 3  includes the shapes  102  designated as m 1  and m 2 . The shapes  102  are sized by 0.5F, and thus printable by a photolithographic process. 
         [0052]    In other embodiments, the first mask  300  may consist of other permutations of two designations of shapes  102  from the group of four designations, such as, for example, m 1  and m 3 , m 1  and m 4 , m 2  and m 3 , m 2  and m 4 , or m 3  and m 4 . 
         [0053]    A second mask is generated using two of the designations m 1 , m 2 , m 3 , m 4  of the shapes  102 , such that one designation which is common to the designations chosen for the first mask  300  and one designation which is excluded from the designations chosen for the first mask  300 , are selected.  FIG. 4  illustrates a top plan view of an embodiment of a second mask  400  to be applied to a semiconductor device. The mask  400  includes shapes of one designation, which are common to the first mask  300 , and shapes of another designation, which are excluded from the first mask  300 . The embodiment illustrated in  FIG. 4  includes the shapes having the designations m 2  and m 3 . The shapes  102  are sized by 0.5F, and thus printable by a photolithographic process. 
         [0054]    In the embodiment illustrated in  FIGS. 3 and 4 , both the first mask  300  and the second mask  400  include the shapes  102  designated as m 2 . The first mask further includes the shapes  102  designated as m 1 , and excludes the shapes  102  designated as m 3  and m 4 . The second mask  400  further includes the shapes  102  designated as m 3  and excludes the shapes  102  designated as m 1  and m 4 . Neither mask  300 ,  400  includes the shapes designated as m 4 . 
         [0055]    Applying the rule that one of the designations selected for use in the second mask  400  is the same and one of the designations selected for use in the second mask  400  is different from the designations selected in the first mask  300  results in other possible selections. For example, in the embodiment illustrated in  FIGS. 3 and 4 , other embodiments of the mask  400  may include the shapes designated as m 2  and m 4 , m 1  and m 3 , or m 1  and m 4 . These designations also fit the rule that one of the designations selected in the second mask  400  is the same and one is different from the designations selected in the first mask  300 . In other embodiments, other designations of the metal shapes for the second mask  400  may also be selected, depending on the designations selected for the first mask  300 . 
         [0056]      FIG. 5  illustrates a flow chart of an embodiment of a process  500  to produce two standard pitch masks from a half pitched layout  100  comprising random shapes  102 . In an embodiment, the process  500  is alignment sensitive and the alignment error should be less than 0.25F. 
         [0057]    In block  502 , the desired half pitched interconnect layout  100  is generated. In an embodiment, the layout is a metallization layout with constant spacing between conductive nodes. In an embodiment, the layout is a metal fill reticle having constant spacing between the random shapes to allow double pitching. 
         [0058]    The random shapes  102  are designated as m 1 , m 2 , m 3 , or m 4  such that two shapes  102  of the same designation, m 1 , m 2 , m 3 , m 4 , are not next to each other in block  504 . By analogy, the designation process can be likened to a map of the United States, where each of the 50 states is colored one of four colors. In order to easily view the states on the map, the color of each state is chosen such that no adjacent states have the same color. 
         [0059]    In block  506 , the layout of the first mask  300  is generated using any two of the four designations, m 1 , m 2 , m 3 , m 4 . 
         [0060]    In block  508 , the layout of the second mask  400  is generated using one of the designations chosen in the first mask  300  and one of the designations not chosen in the first mask  300 . One of the designations m 1 , m 2 , m 3 , m 4  is not used in either the first mask  300  or the second mask  400 . In the illustrated embodiment, the designations m 1  and m 2  are chosen for the first mask  300 , the designations m 2  and m 3  are chosen for the second mask  400 , and the designation m 4  is not chosen for either mask  300 ,  400 . 
         [0061]    In block  510 , in order to be used in the photolithographic process, the shapes  102  in the masks  300 ,  400 , respectively, are sized by 0.5F to become printable shapes. 
         [0062]    The layouts for the masks  300 ,  400  are each processed into a metal fill structure in block  512 . In an embodiment, the metal fill structure is a dense fill structure. 
         [0063]      FIG. 6  illustrates a perspective view of an embodiment of a semiconductor device  600  in which a mask corresponding to the interconnect layout  100  can be formed using the masks  300 ,  400 . Views taken along line A-A show a cross-section of the semiconductor device  600 . 
         [0064]    The semiconductor device  600  comprises a semiconductor substrate  602 , which may comprise a variety of suitable materials. The semiconductor substrate  602  may include semiconductor structures and/or other layers that have been fabricated thereon, an intrinsically doped monocrystalline silicon wafer, or any doped silicon platform that is commonly used in the art. Those of ordinary skill in the art will understand that the semiconductor substrate  602  in other arrangements can comprise other forms of semiconductor layers, which include other active or operable portions of semiconductor devices. 
         [0065]    The semiconductor device  600  further comprises a layer of material  604  formed over semiconductor substrate  602  and suitable to be used as a hardmask, in accordance with an embodiment of the invention. In a preferred embodiment, the hardmask  604  comprises amorphous carbon. In other embodiments, the hardmask  604  can comprise tetraethylorthosilicate (TEOS), polycrystalline silicon, Si 3 N 4 , SiO 3 N 4 , SiC, or any other suitable hardmask material. The material  604  can be deposited using any suitable deposition process, such as, for example, chemical vapor deposition (CVD) or physical vapor deposition (PVD). In an embodiment, the thickness H of the hardmask  604  is preferably within the range of about 500 Å to about 3,000 Å and more preferably within the range of about 1,000 Å to about 3,000 Å. 
         [0066]    A first layer of a material  606  is deposited over the hardmask  604 . Preferably, the material  606  can be etched selectively with respect to the hardmask  604  and the silicon  602 , and the hardmask  604  and the silicon  602  can be selectively etched with respect to the material  606 . In an embodiment, the material  606  can comprise, for example, Tetraethyl Orthosilicate (TEOS), having a thickness preferably within the range of about 100 Å to about 500 Å and more preferably within the range of about 300 Å to about 300 Å. The material  606  can be deposited using any suitable deposition process, such as, for example, chemical vapor deposition (CVD) or physical vapor deposition (PVD). 
         [0067]      FIG. 7  illustrates a cross-sectional view taken along line A-A of an embodiment of the semiconductor device  600  of  FIG. 6  after applying the photo mask  300  ( FIG. 3 ) and patterning the first layer of the material  606 . 
         [0068]    The material  606  can be patterned using well-known photolithography and etching techniques. For example, in some embodiments, photoresist is deposited as a blanket layer over the device  600  and exposed to radiation through a reticle. Following this exposure, the photoresist film is developed to form the photoresist mask  300  ( FIG. 3 ) on the surface of the material  606 , and the material  606  is etched through the mask  300  to expose the hardmask  604  of the device  600  in gaps  704 . 
         [0069]    In some embodiments, the material  606  is etched using a process such as, for example, ion milling, reactive ion etching (RIE), or chemical etching. If an etching process involving a chemical etchant (including RIE) is selected, any of a variety of well-known etchants can be used, such as for example, CF 4 . 
         [0070]    As illustrated in  FIG. 7 , the material  606  remains over areas of the hardmask  604  where the mask  300  forms lines  702 . The material  606  is removed, however, from the area over the hardmask  604  where the mask  300  forms the gaps  704 . In the illustrated embodiment, features of the material  606  or the prior photo mask  300  are shrunk by isotopic etch, widening the gaps between the features. In an embodiment, the features are shrunk to a width of approximately F/2. 
         [0071]      FIG. 8  illustrates a cross-sectional view taken along line A-A of an embodiment of the device of  FIG. 7  after depositing spacers  802 . In an embodiment, a layer of spacer material  804  is formed over the lines  702  of material  606  and the exposed hardmask  604 . Preferably, the spacer material  602  can be selectively etched with respect to the hardmask  604 , the silicon  602 , and the material  606 , and the hardmask  604 , the silicon  602 , and the material  606  can each be selectively etched with respect to the spacer material  804 . In an embodiment, the layer of spacer material  804  comprises for example, TEOS having a thickness preferably within the range of about 0.25*F to about 0.5*F Å, and more preferably within the range of about 100 Å to about 600 Å. The material  804  can be deposited using any suitable deposition process, such as, for example, chemical vapor deposition (CVD) or physical vapor deposition (PVD). 
         [0072]    In an embodiment, an anisotropic etch preferentially removes horizontal surfaces and patterns the spacer material  804  into the spacers  802  in a well-known spacer etch process. The spacers  802  form along the vertical sides of the lines  702 , and have a width preferably about F/2. 
         [0073]      FIG. 9  illustrates the cross-sectional view taken along line A-A of an embodiment of the semiconductor device  600  of  FIG. 8  after removing lines  702  of material  606  and transferring the spacer pattern of the spacers  802  to the hardmask  604 . In an embodiment, the material  606  is removed using a process such as, for example, ion milling, reactive ion etching (RIE), or chemical etching. 
         [0074]    After removing the material  606 , the spacer pattern is transferred to the hardmask  604 . In an embodiment, the areas of the hardmask  604  not covered by the spacers  802  are etched using a process, such as, for example, ion milling, reactive ion etching (RIE), or chemical etching. 
         [0075]    In an embodiment, the thickness H of the hardmask  604  outside the spacers  802  is approximately reduced to half of the original thickness H of the hardmask  604  in the etching process. The thickness H of the hardmask  604  protected by the spacers  802  is approximately unchanged. 
         [0076]      FIG. 9  further illustrates the device  600  of  FIG. 9  after the spacers  802  are removed. In an embodiment, the spacers  802  are removed using a process, such as, for example, ion milling, reactive ion etching (RIE), or chemical etching. 
         [0077]      FIG. 10  illustrates the cross-sectional view taken along line A-A of an embodiment of the semiconductor device  600  of  FIG. 9  after depositing a layer of a material  1002  over the etched hardmask  604  of  FIG. 9 . Preferably, the material  1002  can be etched selectively with respect to the hardmask  604  and the silicon  602 , and the hardmask  604  and the silicon  602  can be selectively etched with respect to the material  1002 . In an embodiment, the material  1002  can comprise a material such as, for example, α-carbon, TEOS, or Nitride, having a thickness preferably within the range of about 500 Å to about 3,000 Å and more preferably within the range of about 1,000 Å to about 1500 Å. The material  1002  can be deposited using any suitable deposition process, such as, for example, chemical vapor deposition (CVD) or physical vapor deposition (PVD). 
         [0078]    In an embodiment, the material  1002  is the same as the material  606 , and the layer of the material  1002  is a second layer of the material  606 . 
         [0079]      FIG. 10  further illustrates applying the photo mask  400  ( FIG. 4 ) and patterning the layer of the material  1002 . The material  1002  can be patterned using well-known photolithography and etching techniques. For example, in some embodiments, photoresist is deposited as a blanket layer over the device  600  and exposed to radiation through a reticle. Following this exposure, the photoresist film is developed to form the photoresist mask  400  ( FIG. 4 ) on the surface of the material  1002 , and the material  1002  is etched through the mask  400  to expose the hardmask  604  of the device  600  in gaps  1006 . In some embodiments, the material  1002  is etched using a process such as, for example, ion milling, reactive ion etching (RIE), or chemical etching. 
         [0080]    As illustrated in  FIG. 10 , the material  1002  remains over areas of the hardmask  604  where the mask  400  forms lines  1004 . The material  1002  is removed, however, from the areas over the hardmask  604  where the mask  400  forms the gaps  1006 . In the illustrated embodiment, features of the material  1002  or the photo mask  400  are shrunk by isotopic etch, widening the gaps between the features. In an embodiment, the features are shrunk to a width of approximately F/2. 
         [0081]      FIG. 11  illustrates the cross-sectional view taken along line A-A of an embodiment of the device  600  of  FIG. 10  after depositing spacers  1102  outside the lines  1004 . In an embodiment, a layer of spacer material  1104  is formed over the lines  1004  of material  1002  and the exposed hardmask  604 . Preferably, the spacer material  1104  can be selectively etched with respect to the hardmask  604 , the silicon  602 , and the material  1002 , and the hardmask  604 , the silicon  602 , and the material  1002  can each be selectively etched with respect to the spacer material  1104 . In an embodiment, the layer of spacer material  1104  comprises a material, such as, for example, TEOS having a thickness preferably within the range of about 0.25*F to about 0.5*F, and more preferably within the range of about 100 Å to about 500 Å. The material  1104  can be deposited using any suitable deposition process, such as, for example, chemical vapor deposition (CVD) or physical vapor deposition (PVD). In an embodiment, the spacer material  1104  is the same as the spacer material  804 . 
         [0082]    In an embodiment, an anisotropic etch preferentially removes horizontal surfaces and patterns the spacer material  1104  into the spacers  1102  in a well-known spacer etch process. The spacers  1102  form along the vertical sides of the lines  1004 , and have a width preferably about F/2. 
         [0083]      FIG. 12  illustrates a cross-sectional view taken along line A-A of an embodiment of the device of  FIG. 11  after removing the lines  1004  of material  1002  and transferring the spacer pattern from the spacers  1102  to the hardmask  604 . In an embodiment, the material  1002  is removed using a process such as, for example, ion milling, reactive ion etching (RIE), or chemical etching. 
         [0084]    After removing the material  1002 , the spacer pattern is transferred to the hardmask  604 . In an embodiment, the areas of the hardmask  604  not covered by the spacers  1102  are etched using a process, such as, for example, ion milling, reactive ion etching (RIE), or chemical etching. 
         [0085]    In an embodiment, the thickness H of the hardmask  604  outside the spacers  1102  is reduced by approximately half of the original thickness H of the hardmask  604  in the etching process. The thickness of the hardmask  604  protected by the spacers  1102  is approximately unchanged. 
         [0086]      FIG. 12  further illustrates the device  600  of  FIG. 11  after the spacers  1102  are removed. In an embodiment, the spacers  1102  are etched using a process, such as, for example, ion milling, reactive ion etching (RIE), or chemical etching. 
         [0087]      FIG. 12  illustrates the patterned hardmask layer  604  formed from the masks  300 ,  400 . The patterned hardmask layer  604  of  FIG. 12  comprises hardmask pillars  1202 ,  1204 ,  1206 , and gaps  1208 . The thickness of the hardmask  604  where the spacers  1102  and  802  vertically align is approximately unchanged from the original thickness H of the layer of hardmask  604 , as illustrated by hardmask pillars  1202 . Where the spacers  1102  vertically align with the gaps  704  from the mask  300 , the thickness of the hardmask  604  is approximately half of the original thickness H, as illustrated by half-height hardmask pillars  1204 . Similarly, the thickness of the hardmask  604 , where the spacers  802  vertically align with the gaps  1006  from the mask  400 , is approximately half of the original thickness H, as illustrated by half-height hardmask pillars  1206 . Further, the hardmask  604  is removed from the areas of the semiconductor  600  where no spacers  802 ,  1102  were formed, as illustrated by gaps  1208 . 
         [0088]    The patterned hardmask  604  of  FIG. 12  comprises a half pitched pattern which can be used to create an interconnect layer on the semiconductor device  600 . The patterned hardmask  604  was generated from two normal pitch masks  300 ,  400 , which in turn were created from the half pitched interconnect layout  100  comprising random shapes  102 . 
         [0089]      FIG. 13  illustrates a top plan view of an embodiment of an interconnect layer  1300  produced from the patterned hardmask  604  of  FIG. 12 . The interconnect layer  1300  comprises non-conductor areas  1302  and conductor areas  1304 . The non-conductor areas further comprise connection nodes  1306  where two or more non-conductor areas  1302  intersect. In an embodiment, the interconnect layer  1300  has constant spacing between the nodes  1306 . 
         [0090]    In an embodiment, the hardmask pillars  1202 ,  1204 ,  1206  are replaced with a non-conductive material in later processing steps. The spaces between the hardmask pillars  1202 ,  1204 ,  1206  can be filled with a conductive material, such as copper, to form the conductive areas of the semiconductor in later processing steps. 
         [0091]    In other embodiments, the spaces between the hardmask pillars  1202 ,  1204 ,  1206  can be filled with a conductive material, such as aluminum, to form the conductive areas of the semiconductor in later processing steps. The hardmask pillars  1202 ,  1204 ,  1206  are removed in later processing steps and the gaps formed by the removal of the hardmask pillars  1202 ,  1204 ,  1206  isolate the conductive areas. 
         [0092]      FIG. 14  illustrates a top plan view of an exemplary embodiment of a half pitched interconnect layout  1400  comprising semi-random shapes  1402  and peripheral shapes  1404 . The half pitched interconnect layout  1400  cannot be used directly to form a mask used in a photolithographic process to create an interconnect layer because the pitch is smaller than the minimum printable feature of a mask. 
         [0093]    In order to print the features of the interconnect layout  1400  photolithographically on a semiconductor device, two normal pitched masks are generated from the interconnect layout  1400 . 
         [0094]      FIG. 15  illustrates a top plan view of an embodiment of an interconnect layout  1500  where the semi-random shapes  1402  in the layout  1400  of  FIG. 14  are labeled as either m 1 , m 2 , or m 3 . The peripheral shapes  1404  are labeled as m 4 .  FIG. 15  further comprises dummy shapes or separators  1502 , which are labeled as m 4 . In an embodiment, the semi-random shapes  1402  are defined as conductor areas and the peripheral shapes and dummy shapes  1404  are defined as non-conductor areas. 
         [0095]    In the embodiment illustrated in  FIG. 15 , the shapes  1402  designated as m 1  are indicated by a right slanted 45° hatching. The shapes  1402  designated as m 2  are indicated by a left slanted 45° hatching, and the shapes  1402  designated as m 3  are indicated by vertical lines. The peripheral shapes  1404  and the dummy shapes  1502  designated as m 4  are indicated by horizontal lines. 
         [0096]    When designating the shapes  1402 ,  1404 , in an embodiment, the peripheral shapes  1404  assigned as m 4 . The shapes  1402  are designated as m 1 , m 2 , or m 3  such that no shapes  1402  of the same designation m 1 , m 2 , m 3 , are next to each other. If this is not possible, as is the case with the layout  1400 , dummy shapes  1502 , designated as m 4 , are introduced into the layout  1400  to satisfy the requirement that no shapes  1402  of the same designation are next to each other. 
         [0097]    In the embodiment illustrated in  FIG. 15 , dummy shapes  1502  are added to the layout  1500  between the semi-random shapes  1402  designated as m 2  to prevent two of the shapes designated as m 2  from being directly beside one another. In an embodiment, the layout  1500  is larger than the layout  1400  as a result of adding the dummy shapes  1502 . 
         [0098]      FIG. 16  illustrates a top plan view of another exemplary embodiment of a half pitched interconnect layout  1600  comprising semi-random shapes  1602  and peripheral shapes  1604 . 
         [0099]      FIG. 17  illustrates a top plan view of an embodiment of an interconnect layout  1700  where the semi-random shapes  1602  in the layout  1600  of  FIG. 16  are labeled as either m 1 , m 2 , or m 3 . As described above with respect to  FIGS. 14 and 15 , a dummy shape  1702  is introduced to satisfy the condition that no two shapes  1602  of the same designations m 1 , m 2 , m 3  are next to each other. The peripheral shapes  1604  and the dummy shape  1702  are designated as m 4 , which is defined as a non-conductor. 
         [0100]    In the embodiment illustrated in  FIG. 17 , the shapes  1602  designated as m 1  are indicated by a right slanted 45° hatching. The shapes  1602  designated as m 2  are indicated by a left slanted 45° hatching, and the shapes  1602  designated as m 3  are indicated by vertical lines. The peripheral shapes  1604  and the dummy shape  1702  designated as m 4  are indicated by horizontal lines. Dummy shape  1702  is added to the layout  1600  between the semi-random shapes  1602  designated as m 2  to prevent two of the shapes of the same designation from being directly beside one another. 
         [0101]      FIG. 18  illustrates a flow chart of an embodiment of a process  1800  to produce two standard pitch masks from the half pitched layout  1500 ,  1700  comprising semi-random shapes  1402 ,  1602 , non-conductor peripheral areas  1404 ,  1604 , and added dummy shapes  1502 ,  1702 , respectively. In an embodiment, the process  1800  is alignment sensitive and the alignment error should be less than 0.25F. 
         [0102]    In block  1802 , the half pitched interconnect layout  1400 ,  1600  is generated. In an embodiment, the layout  1400 ,  1600  is a metallization layout with constant spacing between conductive nodes and has non-conductive, non-fill peripheral areas. 
         [0103]    In block  1804 , the non-fill, non-conductive areas in the periphery  1404 ,  1604  are designated as m 4 . 
         [0104]    If, in block  1806 , it is possible to designate the shapes  1402 ,  1602  as m 1 , m 2 , or m 3  such that two shapes of the same designation are not adjacent, then the process  1800  moves to block  1808 . 
         [0105]    In block  1808 , the shapes  1402 ,  1602  are designated m 1 , m 2 , m 3  that two shapes of the same designation are not next to one another. 
         [0106]    If, in block  1806 , it is not possible to designate the shapes  1402 ,  1602  as m 1 , m 2 , or m 3  such that two shapes of the same designation are not adjacent, then the process  1800  moves to block  1810 . 
         [0107]    In block  1810 , dummy shapes  1502 ,  1702  are introduced into the layout  1500 ,  1700  to satisfy the condition that two shapes of the same designation are next to one another. The dummy shapes  1502 ,  1702  are designated as m 4 . 
         [0108]    As indicated in block  1811 , the layout, in an embodiment, is a metal fill reticle having constant spacing between the shapes m 1 , m 2 , m 3 , and m 4 . This allows double pitching. 
         [0109]    In block  1812 , the layout of a first mask  1820  (not shown) is generated using shapes  1402 ,  1602  having any two of the three designations, m 1 , m 2 , m 3 . Shapes  1404 ,  1502 ,  1604 ,  1702  having the designation m 4  cannot be selected. In the examples illustrated in  FIGS. 15 and 17 , shapes  1402 ,  1602  having combinations of two of the designations m 1 , m 2 , m 3  include shapes m 1  and m 2 , shapes m 2  and m 3 , or shapes m 1  and m 3 . 
         [0110]    In block  1814 , the layout of a second mask  1822  (not shown) is generated using shapes  1402 ,  1602  having one of the designations chosen in the first mask and one of the designations not chosen in the first mask. Shapes  1404 ,  1502 ,  1604 ,  1702  having the designation m 4  cannot be selected. For example, if shapes having the designations m 1  and m 2  are selected for the first mask  1820 , either shapes having the designations m 1  and m 3 , or m 2  and m 3  can be selected for the second mask  1822 . 
         [0111]    In block  1816 , in order to be used in the photolithographic process, the shapes  1402 ,  1404 ,  1502 ,  1602 ,  1604 ,  1702  in the masks  1820 ,  1822  are sized by 0.5F to become printable shapes. 
         [0112]    The layouts for the masks  1820 ,  1822  are each processed into a metal fill structure in block  1818 . In an embodiment, the metal fill structure is a semi-metal fill structure. 
         [0113]      FIG. 19  illustrates a cross-sectional view taken along line A-A of another embodiment of the semiconductor device  600  of  FIG. 6  after printing, shrinking, and etching the first mask  1820 , depositing spacers  1906 , and etching the hardmask  604  outside the spacer/line pattern by a first amount ooo. The first photo mask  1820  is applied to the device  600  and the material  606  is patterned using well-known photolithography and etching techniques, examples of which are described above. 
         [0114]    As illustrated in  FIG. 19 , the material  606  remains over areas of the hardmask  604  where the first mask  1820  forms lines  1902 . The material  606  is removed, however, from the area over the hardmask  604  where the first mask  1820  forms gaps  1904 . In the illustrated embodiment, features of the material  606  or the first photo mask  1820  are shrunk by isotopic etch, widening the gaps between the features. In an embodiment, the features are shrunk to a width of approximately F/2. 
         [0115]    Also illustrated in  FIG. 19 , spacers  1906  are formed along the vertical sides of the lines  1902  from a layer of spacer material  1908  and have a width preferably of about F/2. The spacer material  1908  is deposited and the spacers  1906  are etched using well-known deposition and etching processes, examples of which are described above. Preferably, the material  1908  can be selectively etched with respect to the material  606 , the silicon  602 , and the hardmask  604 , and the material  606 , the silicon  602 , and the hardmask  604  can be selectively etched with respect to the material  1908 . 
         [0116]    Further illustrated in  FIG. 19 , the areas of the hardmask  604  not covered by the spacers  1906  and the lines  1902  are the areas of the hardmask  604  outside the spacer/line pattern of the first mask  1820  and are etched using a process, such as, for example, ion milling, reactive ion etching (RIE), or chemical etching, as describe above. In an embodiment, the thickness H of the hardmask  604  not covered by the spacers  1906  and the lines  1902  is approximately reduced by the first amount ooo. The thickness H of the hardmask  604  covered by the spacers  1906  and the lines  1902  is approximately unchanged. 
         [0117]      FIG. 20  illustrates a cross-sectional view taken along line A-A of an embodiment of the device  600  of  FIG. 19  after removing the material  606  from the lines  1902 , etching the hardmask  604  previously covered by the lines  1902  by a second amount ppp, removing the spacers  1906 , and depositing an additional semiconductor processing layer  2002 . The material  606  in the lines  1902  is removed using at least one suitable etching process. Suitable etching processes, examples of which are described above, are well known to those skilled in the art of semiconductor processing. 
         [0118]    As illustrated in  FIG. 20 , the hardmask  604  in the areas previously covered by the lines  1902  is the area of the hardmask  604  inside the spacers  1906  and is etched by a second amount ppp using at least one suitable etching process. In an embodiment, an over etch of the second amount ppp reduces the thickness of the hardmask  604  in the areas previously covered by the lines  1902  by the second amount ppp. 
         [0119]    Also illustrated in  FIG. 20 , the spacers  1906  are removed using at least one suitable etching process. Suitable etching processes, examples of which are described above, are well known to those skilled in the art of semiconductor processing. 
         [0120]    Further illustrated in  FIG. 20 , a layer of material  2002  is deposited over the patterned hardmask  604 . The material  2002  is deposited using well-known deposition processes, examples of which are described above. Preferably, the material  2002  can be selectively etched with respect to the hardmask  604 , and the silicon  602 , and the hardmask  604  and the silicon  602  can be selectively etched with respect to the material  2002 . 
         [0121]      FIG. 21  illustrates a cross-sectional view taken along line A-A of an embodiment of the device  600  of  FIG. 20  after printing, shrinking, and etching the second mask  1822 , depositing spacer material  2102 , and forming spacers  2104 . The second photo mask  1822  is applied to the device  600  and the material  2002  is patterned using well-known photolithography and etching techniques, examples of which are described above. 
         [0122]    As illustrated in  FIG. 21 , the material  2002  remains over areas of the hardmask  604  where the second mask  1822  forms lines  2106 . The material  2002  is removed, however, from the area over the hardmask  604  where the second mask  1822  forms gaps  2108 . In the illustrated embodiment, features of the material  2002  or the second photo mask  1822  are shrunk by isotopic etch, widening the gaps between the features. In an embodiment, the features are shrunk to a width of approximately F/2. 
         [0123]    Also illustrated in  FIG. 21 , spacers  2104  are formed along the vertical sides of the lines  2106  from the layer of spacer material  2102  and have preferably have a width of about F/2. The spacer material  2102  is deposited and the spacers  2104  are etched using well-known deposition and etching processes, examples of which are described above. Preferably, the material  2102  can be selectively etched with respect to the material  2002 , the silicon  602 , and the hardmask  604 , and the material  2002 , the silicon  602 , and the hardmask  604  can be selectively etched with respect to the material  2102 . 
         [0124]      FIG. 22  illustrates a cross-sectional view taken along line A-A of an embodiment of the device  600  of  FIG. 21  after etching the hardmask  604  outside the spacer/line pattern by a third amount rrr. The area of the hardmask  604  not covered by the lines  2106  and the spacers  2104  is the area of the hardmask  604  outside the spacer/line pattern of the second mask  1822 . In the illustrated embodiment, the third amount rrr is approximately the same as the first amount ooo, and will be indicated as such. In other embodiments, the third amount rrr is not the same as the first amount ooo. 
         [0125]    Further illustrated in  FIG. 22 , the areas of the hardmask  604  not covered by the spacers  2104  and the lines  2106  are etched using a process, such as, for example, ion milling, reactive ion etching (REI), or chemical etching, as describe above. In an embodiment, the thickness of the hardmask  604  not covered by the spacers  2104  and the lines  2106  is approximately reduced by the first amount ooo. The thickness of the hardmask  604  covered by the spacers  2104  and the lines  2106  is approximately unchanged from that of  FIG. 21 . 
         [0126]      FIG. 23  illustrates a cross-sectional view taken along line A-A of an embodiment of the device  600  of  FIG. 22  after removing the material  2002  from the lines  2106 , etching the hardmask  604  previously covered by the lines  2106  by a fourth amount sss, and removing the spacers  2104 . The area of the hardmask  604  previously covered by the lines  2106  is the area of the hardmask  604  inside the spacers  2104 . In the illustrated embodiment, the fourth amount sss is approximately the same as the second amount ppp, and will be indicated as such. In other embodiments, the fourth amount sss is not the same as the second amount ppp. 
         [0127]    The material  2002  in the lines  2106  is removed using at least one suitable etching process. Suitable etching processes, examples of which are described above, are well known to those skilled in the art of semiconductor processing. 
         [0128]    As illustrated in  FIG. 23 , the hardmask  604  in the areas previously covered by the lines  2106  is etched by a second amount ppp using at least one suitable etching process. In an embodiment, an over etch of the second amount ppp reduces the thickness of the hardmask  604  in the areas previously covered by the lines  2106  by the second amount ppp. 
         [0129]    Also illustrated in  FIG. 23 , the spacers  2104  are removed using at least one suitable etching process. Suitable etching processes, examples of which are described above, are well known to those skilled in the art of semiconductor processing. 
         [0130]      FIG. 23  illustrates the patterned hardmask layer  604  formed from the masks  1820 ,  1822 . The patterned hardmask layer  604  of  FIG. 23  comprises hardmask pillars  2302 ,  2306 ,  2308 ,  2312 ,  2314 ,  2316 , and gaps  2304 ,  2310 . The thickness of the hardmask  604  where the spacers  1906 ,  2104  vertically align is approximately unchanged from the original thickness H of the layer of hardmask  604 , as illustrated by hardmask pillars  2302 . 
         [0131]    The hardmask is removed where lines  1902 ,  2106  from the masks  1820 ,  1822  vertically align, as illustrated by the gap  2304 . The amount of the hardmask  604  removed at the gap  3204  can be represented by H-ppp-ppp. In the illustrated embodiment, H-ppp-ppp&lt;0, and the hardmask thickness is approximately zero. 
         [0132]    The thickness of the hardmask  604  where the area outside the spacer/line pattern of the first mask  1820  vertically aligns with the area outside the spacer line pattern of the second mask  1822  can be represented by H-ooo-ooo, and is illustrated by the pillar  2306 . 
         [0133]    The thickness of the hardmask  604  where the area outside the spacer/line pattern of the second mask  1822  vertically aligns with the spacer  1906  can be represented by H-ooo, and is illustrated by pillar  2308 . 
         [0134]    The hardmask  604  is removed where the area outside the spacer/line pattern of the second mask  1822  and the line  1902  vertically align. The amount of the hardmask  604  removed can be represented as H-ooo-ppp, and is illustrated by gap  2310 . In the illustrated embodiment, H-ooo-ppp&lt;0, and the hardmask thickness is approximately zero. 
         [0135]    The thickness of the hardmask  604  where the area outside the spacer/line pattern of the first mask  1820  vertically aligns with the spacer  2104  can be represented as H-ooo, and is illustrated by the pillar  2312 . 
         [0136]    The thickness of the hardmask  604  where the line  2106  vertically aligns with the spacer  1906  can be represented as H-ppp, and is illustrated by the pillar  2314 . 
         [0137]    The thickness of the hardmask  604  where the spacer  2104  vertically aligns with the line  1902  can be represented as H-ppp, and is illustrated by the pillar  2316 . 
         [0138]    The thickness of the hardmask  604  where the area outside the spacer/line pattern of the first mask  1820  vertically aligns with the line  2106  can be represented as H-ooo-ppp (not shown). If H-ooo-ppp&lt;0, then the thickness of the hardmask is approximately zero. 
         [0139]    The patterned hardmask  604  of  FIG. 23  comprises a half pitched pattern which can be used to create an interconnect layer on the semiconductor device  600 . The patterned hardmask  604  was generated from two normal pitch masks  1820 ,  1822  which in turn were created from the half pitched interconnect layout  1500  or  1700  comprising semi-random shapes  1402 ,  1404 ,  1502 ,  1602 ,  1604 ,  1702  respectively. 
         [0140]      FIG. 24  is a table having exemplary values for the thickness of the hardmask  604 , the first etch amount ooo, and the second etch amount ppp, and illustrates how the thickness of the hardmask  604  and the first and second etch amounts ooo, ppp may control the formation of the interconnect mask in an embodiment. In the illustrated embodiment, the hardmask thickness is 5, the first etch amount is 2, and the second etch amount is 4. The entries in the table represent the thickness of the hardmask  604  after performing the process steps described in  FIGS. 19-23  with the masks  1820 ,  1822  created from the interconnect layouts  1400 ,  1600 . Positive table entries indicate an area of hardmask covering the semiconductor device  600 . After forming an interconnect layer with the patterned hardmask  604  of  FIG. 23 , conductors form in these areas. Negative or zero table entries indicate areas where the hardmask  604  is removed. After forming an interconnect layer with the patterned hardmask of  FIG. 23 , non-conductors or insulators. 
         [0141]    By choosing the thickness H of the hardmask  604 , the first etch amount ooo, and the second etch amount ppp, the areas of hardmask  604  remaining on the semiconductor device  600 , after performing the process steps described above with respect to  FIGS. 19-23 , can be selected. 
         [0142]    While certain embodiments of the inventions have been described, these embodiments have been presented by way of example only, and are not intended to limit the scope of the inventions. Indeed, the novel methods and systems described herein may be embodied in a variety of other forms; furthermore, various omissions, substitutions, and changes in the form of the methods and systems described herein may be made without departing from the spirit of the inventions. The accompanying claims and their equivalents are intended to cover such forms or modifications as would fall within the scope and spirit of the inventions.