Patent Publication Number: US-11643933-B1

Title: Compressor stator vane airfoils

Description:
FIELD 
     The present disclosure relates to an airfoil for a compressor stator vane disposed within a stage of a compressor section of a land-based gas turbine system and, more particularly, relates to a shape defining a profile for an airfoil of a compressor stator vane. 
     BACKGROUND 
     Some simple cycle or combined cycle power plant systems employ turbomachines in their design and operation. Generally, turbomachines employ airfoils (e.g., stator vanes or nozzles and rotor blades), which during operation are exposed to fluid flows. These airfoils are configured to aerodynamically interact with the fluid flows and to transfer energy to or from these fluid flows as part of power generation. For example, the airfoils may be used to compress fluid, to create thrust, to convert kinetic energy to mechanical energy, and/or to convert thermal energy to mechanical energy. As a result of these interactions and conversions, the aerodynamic characteristics of these airfoils may result in losses that have an impact on system and turbine operation, performance, thrust, efficiency, and power. 
     BRIEF DESCRIPTION 
     Aspects and advantages of the stator vanes and turbomachines in accordance with the present disclosure will be set forth in part in the following description, or may be obvious from the description, or may be learned through practice of the technology. 
     In accordance with one embodiment, a stator vane is provided. A stator vane includes an airfoil having an airfoil shape. The airfoil shape has a nominal profile substantially in accordance with Cartesian coordinate values of X, Y, and Z set forth in one of TABLE I or TABLE II. The Cartesian coordinate values of X, Y, and Z are defined relative to a point data origin at a base of the airfoil. The Cartesian coordinate values of X, Y, and Z are non-dimensional values that are convertible to dimensional distances expressed in a unit of distance by multiplying the Cartesian coordinate values of X, Y, and Z by a scaling factor of the airfoil in the unit of distance. The X and Y values are connected by smooth continuing arcs to define airfoil profile sections at each Z value. The airfoil profile sections at Z values are joined smoothly with one another to form a complete airfoil shape. 
     In accordance with another embodiment, a stator vane is provided. The stator vane includes an airfoil having a nominal suction-side profile substantially in accordance with suction-side Cartesian coordinate values of X, Y, and Z set forth in one of TABLE I or TABLE II. The Cartesian coordinate values of X, Y, and Z are defined relative to a point data origin at a base of the airfoil. The Cartesian coordinate values of X, Y, and Z are non-dimensional values that are convertible to dimensional distances expressed in a unit of distance by multiplying the Cartesian coordinate values of X, Y, and Z by a scaling factor of the airfoil in the unit of distance. The X and Y values are connected by smooth continuing arcs to define suction-side profile sections at each Z value. The suction-side profile sections at the Z values are joined smoothly with one another to form a complete airfoil suction-side shape. 
     In accordance with yet another embodiment, a turbomachine is provided. The turbomachine includes a compressor section, a turbine section downstream from the compressor section, and a combustion section downstream from the compressor section and upstream from the turbine section. A stator vane is disposed within one of the compressor section or the turbine section. The stator vane includes an airfoil having an airfoil shape. The airfoil shape has a nominal profile substantially in accordance with Cartesian coordinate values of X, Y, and Z set forth in one of TABLE I or TABLE II. The Cartesian coordinate values of X, Y, and Z are defined relative to a point data origin at a base of the airfoil. The Cartesian coordinate values of X, Y, and Z are non-dimensional values that are convertible to dimensional distances expressed in a unit of distance by multiplying the Cartesian coordinate values of X, Y, and Z by a scaling factor of the airfoil in the unit of distance. The X and Y values are connected by smooth continuing arcs to define airfoil profile sections at each Z value. The airfoil profile sections at Z values are joined smoothly with one another to form a complete airfoil shape. 
     These and other features, aspects and advantages of the present stator vanes and turbomachines will become better understood with reference to the following description and appended claims. The accompanying drawings, which are incorporated in and constitute a part of this specification, illustrate embodiments of the technology and, together with the description, serve to explain the principles of the technology. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       A full and enabling disclosure of the present stator vanes and turbomachines, including the best mode of making and using the present systems and methods, directed to one of ordinary skill in the art, is set forth in the specification, which makes reference to the appended figures, in which: 
         FIG.  1    is a schematic illustration of a turbomachine in accordance with embodiments of the present disclosure; 
         FIG.  2    illustrates a cross-sectional side view of a compressor section (e.g., of the turbomachine of  FIG.  1   ), in accordance with embodiments of the present disclosure; 
         FIG.  3    illustrates a perspective view of a stator vane as may be used in the compressor section of  FIG.  2   , in accordance with embodiments of the present disclosure; 
         FIG.  4    illustrates an airfoil profile section of an airfoil from along the line 4-4 shown in  FIG.  3   , in accordance with embodiments of the present disclosure; 
         FIG.  5    illustrates a graph of a stagger angle distribution belonging to an airfoil disposed on a stator vane within a specified stage of a compressor section, in accordance with embodiments of the present disclosure; and 
         FIG.  6    illustrates a graph of a stagger angle distribution belonging to an airfoil disposed on a stator vane within a specified stage of a compressor section, in accordance with embodiments of the present disclosure. 
     
    
    
     DETAILED DESCRIPTION 
     Reference now will be made in detail to embodiments of the present stator vanes and turbomachines, one or more examples of which are illustrated in the drawings. Each example is provided by way of explanation, rather than limitation of, the technology. In fact, it will be apparent to those skilled in the art that modifications and variations can be made in the present technology without departing from the scope or spirit of the claimed technology. For instance, features illustrated or described as part of one embodiment can be used with another embodiment to yield a still further embodiment. Thus, it is intended that the present disclosure covers such modifications and variations as come within the scope of the appended claims and their equivalents. 
     The detailed description uses numerical and letter designations to refer to features in the drawings. Like or similar designations in the drawings and description have been used to refer to like or similar parts of the invention. As used herein, the terms “first”, “second”, and “third” may be used interchangeably to distinguish one component from another and are not intended to signify location or importance of the individual components. 
     As used herein, the terms “upstream” (or “forward”) and “downstream” (or “aft”) refer to the relative direction with respect to fluid flow in a fluid pathway. For example, “upstream” refers to the direction from which the fluid flows, and “downstream” refers to the direction to which the fluid flows. The term “radially” refers to the relative direction that is substantially perpendicular to an axial centerline of a particular component, the term “axially” refers to the relative direction that is substantially parallel and/or coaxially aligned to an axial centerline of a particular component, and the term “circumferentially” refers to the relative direction that extends around the axial centerline of a particular component. 
     Terms of approximation, such as “generally,” “substantially,” or “about” include values within ten percent greater or less than the stated value. When used in the context of an angle or direction, such terms include within ten degrees greater or less than the stated angle or direction. For example, “generally vertical” includes directions within ten degrees of vertical in any direction, e.g., clockwise or counter-clockwise. 
     Referring now to the drawings,  FIG.  1    illustrates a schematic diagram of one embodiment of a turbomachine, which in the illustrated embodiment is a gas turbine  10 . Although an industrial or land-based gas turbine is shown and described herein, the present disclosure is not limited to an industrial and/or land-based gas turbine unless otherwise specified in the claims. For example, the stator vane airfoils as described herein may be used in any type of turbomachine including but not limited to a steam turbine, an aircraft gas turbine, or a marine gas turbine. 
     As shown, gas turbine  10  generally includes an inlet section  12 , a compressor section  14  disposed downstream of the inlet section  12 , one or more combustors (not shown) within a combustor section  16  disposed downstream of the compressor section  14 , a turbine section  18  disposed downstream of the combustor section  16 , and an exhaust section  20  disposed downstream of the turbine section  18 . Additionally, the gas turbine  10  may include one or more shafts  22  coupled between the compressor section  14  and the turbine section  18 . 
     The multi-stage axial compressor section or compressor section  14  may generally include a plurality of rotor disks  24  (one of which is shown) and a plurality of rotor blades  44  extending radially outwardly from and connected to each rotor disk  24 . Each rotor disk  24  in turn may be coupled to or form a portion of the shaft  22  that extends through the compressor section  14 . The compressor section  14  may further include one or more stator vanes  50  arranged circumferentially around the shaft  22 . The stator vanes  50  may be fixed to a static casing or compressor casing  48  that extends circumferentially around the rotor blades  44 . 
     The turbine section  18  may generally include a plurality of rotor disks  28  (one of which is shown) and a plurality of rotor blades  30  extending radially outwardly from and being interconnected to each rotor disk  28 . Each rotor disk  28  in turn may be coupled to or form a portion of the shaft  22  that extends through the turbine section  18 . The turbine section  18  further includes a turbine casing  33  that circumferentially surrounds the turbine portion of the shaft  22  and the rotor blades  30 , thereby at least partially defining a hot gas path  32  through the turbine section  18 . The turbine casing  33  may be configured to support a plurality of stages of stationary nozzles  29  extending radially inwardly from the inner circumference of the turbine casing  33 . 
     During operation, a working fluid such as air flows through the inlet section  12  and into the compressor section  14  where the air is progressively compressed, thus providing pressurized air to the combustor(s) of the combustor section  16 . The pressurized air is mixed with fuel and burned within the combustor(s) to produce combustion gases  34 . The combustion gases  34  flow through the hot gas path  32  from the combustor section  16  into the turbine section  18 , wherein energy (kinetic and/or thermal) is transferred from the combustion gases  34  to the rotor blades  30 , causing the shaft  22  to rotate. The mechanical rotational energy may then be used to power the compressor section  14  and/or to generate electricity. The spent combustion gases  34  exiting the turbine section  18  (sometimes referred to as “flue gases” or “exhaust gases”) may then be exhausted from the gas turbine  10  via the exhaust section  20 . 
       FIG.  2    illustrates a cross-sectional side view of an embodiment of the compressor section  14  of the gas turbine  10  of  FIG.  1   , which is shown as a multi-stage axial compressor section  14 , in accordance with embodiments of the present disclosure. As shown in  FIGS.  1  and  2   , the gas turbine  10  may define a cylindrical coordinate system. The cylindrical coordinate system may define an axial direction A (e.g., downstream direction) parallel to and/or along an axial centerline  23  of the gas turbine  10 , a radial direction R perpendicular to the axial centerline  23 , and a circumferential direction C extending around the axial centerline  23 . 
     In operation, air  15  may enter the compressor section  14  in the axial direction A through the inlet section  12  and may be pressurized in the multi-stage axial compressor section  14 . The compressed air may then be mixed with fuel for combustion within the combustor section  16  to drive the turbine section  18 , which rotates the shaft  22  in the circumferential direction C and, thus, the multi-stage axial compressor section  14 . The rotation of the shaft  22  also causes one or more rotor blades  44  (e.g., compressor rotor blades) within the multi-stage axial compressor section  14  to draw in and pressurize the air received by the inlet section  12 . 
     The multi-stage axial compressor section  14  may include a rotor assembly  46  having a plurality of rotor disks  24 . Rotor blades  44  may extend radially outward from the rotor disks  24 . The entire rotor assembly  46  (e.g., rotor disks  24  and rotor blades  44 ) may rotate in the circumferential direction C during operation of the gas turbine  10 . The rotor assembly  46  may be surrounded by a compressor casing  48 . The compressor casing may be static or stationary, such that the rotor assembly  46  rotates relative to the compressor casing  48 . Stator vanes  50  (e.g., variable stator vanes and/or fixed stator vanes) may extend radially inward from the compressor casing  48 . 
     As shown in  FIG.  2   , one or more stages of the stator vanes  50  may be variable stator vanes  51 , such that an angle of the stator vane  50  may be selectively actuated (e.g., by a controller  200 ). For example, in the embodiments shown in  FIG.  2   , the first two stages of the compressor section  14  (e.g., S1 and S2) may include variable stator vanes  51 . In many embodiments, as shown, the rotor blades  44  and stator vanes  50  may be arranged in stages in an alternating fashion, such that most stages of the rotor blades  44  are disposed between two stages of stator vanes  50  in the axial direction A. 
     In some embodiments, the compressor casing  48  of the compressor section  14  or the inlet section  12  may have one or more sets of inlet guide vanes  52  (IGVs) (e.g., variable IGV stator vanes). The inlet guide vanes  52  may be mounted to the compressor casing  48 , may be spaced apart from one another in the circumferential direction C, and may be operable to control the amount of air  15  that enters the compressor section  14 . Additionally, an outlet  56  of the compressor section  14  may have a set of outlet guide vanes  58  (OGVs). The OGVs  58  may be mounted to the compressor casing  48 , may be spaced apart from one another in the circumferential direction C, and may be operable to control the amount of air  15  that exits the compressor section  14 . 
     In exemplary embodiments, as shown in  FIG.  2   , the variable stator vanes  51  and the IGVs  52  may each be configured to vary its vane angle relative to the gas flow (e.g., air flow) by rotating the vane  51 ,  52  about an axis of rotation (e.g., about the radially oriented vane shaft). However, each variable stator vane  51  (including the IGVs  52 ) may be otherwise stationary relative to the rotor blades  44 . In certain embodiments, the variable stator vanes  51  and the IGVs  52  may be coupled to an actuator  19  (e.g., electric drive, pneumatic drive, or hydraulic drive). The actuators  19  may be in operable communication (e.g., electrical communication) with a controller  200 . The controller  200  may be operable to selectively vary the vane angle. In other embodiments, all of the stator vanes  50  may be fixed, such that the stator vanes  50  are configured to remain in a fixed angular position (e.g., the vane angle does not vary). 
     The compressor section  14  may include a plurality of rows or stages arranged in a serial flow order, such as between 2 to 30, 2 to 25, 2 to 22, 2 to 14, or 2 to 10 rows or stages, or any specific number or range therebetween. Each stage may include a plurality of rotor blades  44  (attached to rotor disks  24  and circumferentially spaced about the axial centerline  23 ) and a plurality of stator vanes  50  (attached to the compressor casing  48  and circumferentially spaced about the axial centerline  23 ). In each stage, the multi-stage axial compressor section  14  may include 2 to 1000, 5 to 500, or 10 to 100 of circumferentially arranged rotor blades  44 , and 2 to 1000, 5 to 500, or 10 to 100 of circumferentially arranged stator vanes  50 . In particular, the illustrated embodiment of the multi-stage axial compressor section  14  includes 22 stages (e.g., S1-S22). 
     It may be appreciated that each stage has a set of rotor blades  44  disposed at a first axial position and a set of stator vanes  50  disposed at a second axial position along the length of the compressor section  14 . In other words, each stage has the rotor blades  44  and stator vanes  50  axially offset from one another, such that the compressor section  14  has an alternating arrangement of rotor blades  44  and stator vanes  50  one set after another along the length of the compressor section  14 . Each set of rotor blades  44  extends (e.g., in a spaced arrangement) in the circumferential direction C about the shaft  22 , and each set of stator vanes  50  extends (e.g., in a spaced arrangement) in the circumferential direction C within the compressor casing  48 . 
     While the compressor section  14  may include greater or fewer stages than are illustrated,  FIG.  2    illustrates an embodiment of the compressor section  14  having twenty two stages arranged in a serial flow order and identified as follows: first stage S1, second stage S2, third stage S3, fourth stage S4, fifth stage S5, sixth stage S6, seventh stage S7, eighth stage S8, ninth stage S9, tenth stage S10, eleventh stage S11, twelfth stage S12, thirteenth stage S13, fourteenth stage S14, fifteenth stage S15, sixteenth stage S16, seventeenth stage S17, eighteenth stage S18, nineteenth stage S19, twentieth stage S20, twenty-first stage S21, and twenty-second stage S22. The IGVs  52  are upstream (i.e., forward) of first stage S1, and the OGVs  58  are downstream (i.e., aft) of the twenty-second stage S22. 
     In certain embodiments, each stage may include rotor blades  44  and stator vanes  50  (e.g., fixed stator vanes  50  and/or variable stator vanes  51 ). As used herein, a rotor blade  44  disposed within one of the sections S1-S22 of the compressor section  14  may be referred to by whichever stage it is disposed within, e.g., “a first stage compressor rotor blade,” “a second stage compressor rotor blade,” “a third stage compressor rotor blade,” etc. Similarly, a stator vane  50  disposed within one of the sections S1-S22 of the compressor section  14  may be referred to by whichever stage it is disposed within, e.g., “a third stage compressor stator vane,” “a fourth stage compressor stator vane,” “a fifth stage compressor stator vane,” etc. 
     In use, the rotor blades  44  may rotate circumferentially about the axial centerline  23  within the compressor casing  48  and between the stator vanes  50 . Rotation of the rotor blades  44  may result in air entering the inlet section  12 . The air is then subsequently compressed as it traverses the various stages (e.g., first stage S1 to twenty-second stage S22) of the compressor section  14  and moves in the axial direction downstream of the multi-stage axial compressor section  14 . The compressed air may then exit through the outlet  56  of the multi-stage axial compressor section  14 . As discussed above, the outlet  56  may have a set of outlet guide vanes  58  (OGVs). The compressed air that exits the compressor section  14  may be directed to the combustor section  16  and mixed with fuel for combustion. Air from one or more stages of the compressor section  14  may also be directed to the turbine section  18  or elsewhere in the gas turbine  10  for cooling and/or sealing. 
     The IGV  52 , the stages (e.g., S1-S22) of rotor blades  44  and stator vanes  50 , and the OGV  58  of the compressor section  14  may be grouped into one or more sections or portions of the compressor section  14  for reference purposes. For the purposes of the grouping, portions the compressor section  14  may be expressed in terms of a percentage, such as a percentage of the compressor section  14  from the inlet (e.g., 0% of the compressor section  14 ) to the outlet (e.g., 100% of the compressor section  14 ) in the axial or downstream direction. In this way, the compressor section  14  may include, in a serial flow order, an early stage  60 , a mid stage  62 , and a late stage  64 . In particular, the early stage  60  may include from approximately 0% to approximately 25% of the compressor section  14  (e.g., from the IGV  52  to about the sixth stage S6). The mid stage  62  may include from approximately 25% to approximately 75% of the compressor section  14  (e.g., from about the seventh stage S7 to about the eighteenth stage S18). The late stage  64  may include from approximately 75% to approximately 100% of the compressor section  14  (e.g., from about the nineteenth stage S19 to the OGV  58 ). 
     Accordingly, the Cartesian coordinate data contained within each of TABLES I and 11 may correspond to an airfoil shape of an airfoil  100  disposed within the mid stage  62  of the compressor section  14 . Particularly, the Cartesian coordinate data contained within each of TABLES I and II may correspond to an airfoil shape of an airfoil  100  disposed within the last two stages of the mid stage  62  (e.g., the seventeenth stage S17 and the eighteenth stage S18). 
     For example, in exemplary embodiments, the Cartesian coordinate data contained within TABLE I may correspond to an airfoil shape of an airfoil  100  disposed on a stator vane  50  within the seventeenth stage S17 of the compressor section  14 . The Cartesian coordinate data contained within TABLE II may correspond to an airfoil shape of an airfoil  100  disposed on a stator vane  50  within the eighteenth stage S18 of the compressor section  14 . 
     However, in various other embodiments, each of TABLES I and II may contain Cartesian coordinate data of an airfoil shape of an airfoil  100  that may be disposed on a stator vane  50  or rotor blade  44  in any stage S1-S22 of the compressor section  14 . Accordingly, the airfoil shape defined by each of TABLES I and II should not be limited to any particular stage of the compressor section  14  unless specifically recited in the claims. 
       FIG.  3    illustrates a perspective view of a stator vane  50 , which may be incorporated in any stage (e.g., S1 through S22) of the compressor section  14 , in accordance with embodiments of the present disclosure. 
     As shown, the stator vane  50  includes an airfoil  100  defining an airfoil shape  150 . The airfoil  100  includes a pressure-side surface or profile  102  and an opposing suction-side surface or profile  104 . The pressure-side surface  102  and the suction-side surface  104  meet or intersect at a leading edge  106  and a trailing edge  108  of the airfoil  100 . A chord line  110  extends between the leading edge  106  and the trailing edge  108  such that pressure and suction-side surfaces  102 ,  104  can be said to extend in chord or chordwise between the leading edge  106  and the trailing edge  108 . The leading and trailing edges,  106  and  108  respectively, may be described as the dividing or intersecting lines between the suction-side surface  104  and the pressure-side surface  102 . In other words, the suction-side surface  104  and the pressure-side surface  102  couple together with one another along the leading edge  106  and the trailing edge  108 , thereby defining an airfoil shaped cross-section that gradually changes lengthwise (or “span-wise”) along the airfoil  100 . 
     In operation, the stator vanes  50  may be stationary components that do not move in the circumferential direction C. For example, the stator vanes  50  may be coupled to, and extend radially inward from, the compressor casing  48 . Each set (or stage) of stator vanes  50  within the compressor section  14  may be disposed axially between two sets (or stages) of rotor blades  44 , which rotate in the circumferential direction C. For example, the rotor blades  44  rotate about the turbomachine axial centerline  23  exerting a torque on a working fluid, such as air  15 , thus increasing energy levels of the fluid as the working fluid traverses the various stages S1 through S22 of the multi-stage axial compressor section  14  on its way to the combustor section  16 . The stator vanes  50  may be adjacent (e.g., upstream and/or downstream) to the one or more sets of the rotor blades  44 . The stator vanes  50  slow the working fluid during rotation of the rotor blades  44 , converting a circumferential component of movement of the working fluid flow into pressure. Accordingly, continuous rotation of the rotor blade  44  creates a continuous flow of compressed working fluid, suitable for combustion via the combustor section  16 . 
     As shown in  FIG.  3   , the airfoil  100  includes a root or first end  112 , which intersects with and extends radially inwardly from a base or platform  114  of the stator vane  50 . The airfoil  100  terminates radially at a second end or radial tip  116  of the airfoil  100 . In some embodiments (not shown), the stator vane  50  may include a tip shroud or tip platform extending from the radial tip  116  generally parallel to the base  114 . The pressure-side and suction-side surfaces  102 ,  104  can be said to extend in span or in a span-wise direction  118  between the root  112  and/or the platform  114  and the radial tip  116  of the airfoil  100 . In other words, each stator vane  50  includes an airfoil  100  having opposing pressure-side and suction-side surfaces  102 ,  104  that extend in chord or chordwise  110  between opposing leading and trailing edges  106 ,  108  and that extend in span or span-wise  118  between the root  112  and the radial tip  116  of the airfoil  100 . 
     In particular configurations, the airfoil  100  may include a fillet  72  formed between the platform  114  and the airfoil  100  proximate to the root  112 . The fillet  72  can include a weld or braze fillet, which can be formed via conventional MIG welding, TIG welding, brazing, etc., and can include a profile that can reduce fluid dynamic losses as a result of the presence of fillet  72 . In particular embodiments, the platform  114 , the airfoil  100  and the fillet  72  can be formed as a single component, such as by casting and/or machining and/or additive manufacturing (such as 3D printing) and/or any other suitable technique now known or later discovered and/or developed. 
     In various implementations, the stator vane  50  may include a mounting portion  74  (such as a dovetail joint), which is formed to connect and/or to secure the stator vane  50  to the compressor casing  48 . For example, the mounting portion  74  may include a T-shaped structure, a hook, one or more lateral protrusions, one or more lateral slots, or any combination thereof. The mounting portion  74  (e.g., dovetail joint) may be configured to mount into the compressor casing  48  in an axial direction A, a radial direction R, and/or a circumferential direction C (e.g., into an axial slot or opening, a radial slot or opening, and/or a circumferential slot or opening). 
     An important term in this disclosure is “profile”. The profile is the range of the variation between measured points on an airfoil surface and the ideal position listed in each of TABLES I and II. The actual profile on a manufactured compressor stator vane will be different than those in TABLES I and II, and the design is robust to this variation meaning that mechanical and aerodynamic function are not impaired. As noted above, a + or −5% profile tolerance is used herein. The X, Y, and Z values are all non-dimensionalized relative to a scaling factor. 
     The airfoil  100  of the stator vane  50  has a nominal profile at any cross-section taken between the platform  114  or the root  112  and the radial tip  116 , e.g., such as the cross section shown in  FIG.  4   . A “nominal profile” is the range of variation between measured points on an airfoil surface and the ideal position listed in TABLES I and II. The actual profile on a manufactured compressor blade may be different from those in TABLES I and II (e.g., due to manufacturing tolerances), and the design is robust to this variation, meaning that mechanical and aerodynamic function are not impaired. 
     The Cartesian coordinate values of X, Y, and Z provided in each of TABLES I and II are dimensionless values scalable by a scaling factor, as measured in any given unit of distance (e.g., inches). For example, the X, Y, and Z values in each of TABLES I and II are set forth in non-dimensionalized units, and thus a variety of units of dimensions may be used when the values are appropriately scaled by a scaling factor. As one example only, the Cartesian coordinate values of X, Y, and Z may be convertible to dimensional distances by multiplying the X, Y, and Z values by a scaling factor. The scaling factor may be substantially equal to 1, greater than 1, or less than 1. The scaling factor, used to convert the non-dimensional values to dimensional distances, may be a fraction (e.g., ½, ¼, etc.), decimal fraction (e.g., 0.5, 1.5, 10.25, etc.), integer (e.g., 1, 2, 10, 100, etc.) or a mixed number (e.g., 1½, 10¼, etc.). The scaling factor may be a dimensional distance in any suitable format (e.g., inches, feet, millimeters, centimeters, etc.). In various embodiments, the scaling factor may be between about 0.01 inches and about 10 inches, or such as between about 0.02 inches and about 5 inches, or such as between about 0.04 inches and about 2.5 inches, or such as between about 0.06 inches and about 1.5 inches. 
     In various embodiments, the X, Y, and Z values in each of TABLES I and II may be scaled as a function of the same scaling factor (e.g., constant or number) to provide a scaled-up or a scaled-down airfoil. In some embodiments, the scaling factor may be different for each of TABLES I and II, such that each of the TABLES I and II has a unique scaling factor. In this way, each of TABLES I and II defines the relationships between the respective X, Y, and Z coordinate values without specifying the units of measure (e.g., dimensional units) for the various airfoil  100  embodiments. Accordingly, while different scaling factors may be applied to the respective X, Y, and Z coordinate values of each of TABLES I and II to define different embodiments of the airfoil  100 , each embodiment of the airfoil  100  regardless of the particular scaling factor is considered to be defined by the respective X, Y, and Z coordinate values TABLES I and II. For example, the X, Y, and Z coordinate values of TABLES I and II may each define an embodiment of the airfoil  100  formed with a 1:1 inch scaling factor, or formed with a 1:2 inch scaling factor, or formed with a 1:1 cm scaling factor. It may be appreciated that any scaling factor may be used with the X, Y, and Z coordinate values of any of TABLES I and II, according to the design considerations of a particular embodiment. 
     A gas turbine hot gas path requires airfoils that meet system requirements of aerodynamic and mechanical blade loading and efficiency. To define the airfoil shape of each compressor stator vane airfoil, there is a unique set or loci of points in space that meet the stage requirements and that can be manufactured. This unique loci of points meet the requirements for stage efficiency and are arrived at by iteration between aerodynamic and mechanical loadings enabling the turbine to run in an efficient, safe and smooth manner. These points are unique and specific to the system. 
     The loci that define the compressor stator vane airfoil shape include a set of points with X, Y, and Z dimensions relative to a reference origin coordinate system. The Cartesian coordinate system of X, Y, and Z values given in each of TABLES I and II below defines the airfoil shapes (which include the various airfoil profile sections) of an airfoil belonging to one or more compressor stator vanes at various locations along its height (or along the span-wise direction  118 ). 
     Each of TABLES I and II list data for an uncoated airfoil at cold or room temperature. As used herein, the phrase “substantially in accordance with Cartesian coordinate values of X, Y, and Z set forth in one of TABLE I (or II)” refers to the envelope/tolerance for the coordinates is about +/−5% in a direction normal to any airfoil surface location and/or about +/−5% of the chord  110  in a direction nominal to any airfoil surface location. In other words, the airfoil layout, as embodied by the disclosure, is robust to this range of variation without impairment of mechanical and aerodynamic functions. 
     A point data origin  76  is defined at the base  114  of the airfoil  100 . For example, the point data origin  76  may be defined at the root  112  of the airfoil  100 . For example, in some embodiments, the point data origin  76  may be defined at the root  112  of the airfoil  100  at the intersection of a stacking axis (e.g., a radially extending axis) and the compressed air flowpath (e.g., a flowpath of air along the surface of the airfoil). The point data origin  76  corresponds to the non-dimensional Z value equal to 0. 
     As described above, the Cartesian coordinate system has orthogonally related (e.g., mutually orthogonal) X, Y, and Z axes, and the X axis lies parallel to an axial centerline  23  of the shaft  22 , i.e., the rotary axis, and a positive X coordinate value is axial toward an aft, i.e., exhaust, end of the gas turbine  10 . The positive Y coordinate value extends in the direction from the pressure-side surface  102  towards the suction-side surface  104 , and the positive Z coordinate value is radially outwardly from the base  114  toward the radial tip  116  (e.g., opposite the radial direction of the gas turbine  10 ). All the values in each of TABLES I and II are given at room temperature and do not include the fillet  72  or coatings (not shown). 
     By defining X and Y coordinate values at selected locations in a Z direction normal to the X, Y plane, an airfoil profile section  160  of the airfoil  100  of the stator vane  50  may be defined at each specified Z distance along the length of the airfoil  100 . By connecting the X and Y values with smooth continuing arcs, each airfoil profile section of the airfoil  100  at each distance Z may be fixed. The complete airfoil shape  150  may be determined by smoothly connecting the adjacent profile sections to one another. 
     The values of TABLES I and II are generated and shown to three decimal places for determining the airfoil shape  150  of the airfoil  100 . As the stator vane  50  heats up during operation of the gas turbine  10 , surface stress and temperature will cause a change in the X, Y, and Z values. Accordingly, the values for the various airfoil profile sections given in TABLES I and II define the “nominal” airfoil profile, that is, the profile of an uncoated airfoil at ambient, non-operating or non-hot conditions (e.g., room temperature). 
     There are typical manufacturing tolerances as well as coatings which must be accounted for in the actual profile of the airfoil  100 . Each cross-section is joined smoothly with the other cross-sections to form the complete airfoil shape. It will therefore be appreciated that +/− typical manufacturing tolerances, i.e., +/− values, including any coating thicknesses, are additive to the X and Y values given in each of TABLES I and II below. Accordingly, a distance of +/−5% in a direction normal to any surface location along the airfoil profile defines an airfoil profile envelope for this particular stator vane  50  airfoil design, i.e., a range of variation between measured points on the actual airfoil surface at nominal cold or room temperature and the ideal position of those points as given in each of TABLES I and II below at the same temperature. The data provided in each of TABLES I and II is scalable (i.e., by a uniform geometric scaling factor), and the geometry pertains to all aerodynamic scales, at, above and/or below 3000 RPM. The design of the airfoil  100  for stator vane  50  is robust to this range of variation without impairment of mechanical and aerodynamic functions. 
     The airfoil  100  may include various airfoil profile sections along the span-wise direction  118 . Each of the airfoil profile sections may be “stacked” on top of one another other along the Z direction, such that when connected with smooth continuous arcs, the complete airfoil shape  150  may be ascertained. For example, each airfoil profile section corresponds to Cartesian coordinate values of X, Y, and Z for a common Cartesian coordinate value of Z in each of TABLES I and II. Furthermore, adjacent airfoil profile sections correspond to the Cartesian coordinate values of X, Y, and Z for adjacent Cartesian coordinate values of Z in each of TABLES I and II. 
     For example,  FIG.  4    illustrates an airfoil profile section  160  of an airfoil  100  from along the line 4-4 shown in  FIG.  3   , which may be representative of an airfoil profile section of the airfoil  100  at any span-wise location, in accordance with embodiments of the present disclosure. As should be appreciated, the airfoil shape  150  of the airfoil  100  may change or vary at each span-wise location (or at each respective Z value). In this way, a distinct airfoil profile section  160  may be defined at each position along the span-wise direction  118  (or at each Z value) of the airfoil  100 . The airfoil profile sections  160  at each span-wise location (e.g., at each Z value) of the airfoil  100  are connected together with smooth continuous lines, thereby defining the complete airfoil shape  150  of the airfoil  100 . 
     A Cartesian coordinate system of X, Y, and Z values given in each of TABLES I and II below defines respective suction side surfaces or profiles  104  and pressure side surfaces or profiles  102  of the respective airfoils  100  at various locations along the span-wise direction  118  of the respective airfoils  100 . For example, in each of TABLES I and II, points  113  through  168  define the respective suction side surface  104  and pressure side surface  102  of a respective airfoil taken along the Z value coinciding with line 4-4 shown in  FIG.  3   . 
     By defining X and Y coordinate values at selected locations in a Z direction normal to the X-Y plane, an airfoil profile section  160  of the airfoil  100  may be obtained at each of the selected Z value location (e.g., by connecting each X and Y coordinate value at a given Z value to adjacent X and Y coordinate values of that same Z value with smooth continuing arcs). At each Z value or location, the suction side profile  104  may joined to the pressure-side profile or surface  102 , as shown in  FIG.  4   , to define the airfoil profile section  160 . The airfoil shape  150  of the airfoil  100  may be determined by smoothly connecting the adjacent (e.g., “stacked”) airfoil profile sections  160  to one another with smooth continuous arcs. 
     The values in each of TABLES I and II below are computer-generated and shown to three decimal places. In certain embodiments, any values having less than three decimal places may be shown with trailing zeroes to obtain three decimal places. Furthermore, in some embodiments and in view of manufacturing constraints, actual values useful for forming the airfoil  100  may be considered valid to fewer than three decimal places for determining the airfoil shape  150  of the airfoil  100 . 
     As will be appreciated, there are typical manufacturing tolerances which may be accounted for in the airfoil shape  150 . Accordingly, the X, Y, and Z values given in each of TABLES I and II are for the airfoil shape  150  of a nominal airfoil. It will therefore be appreciated that plus or minus typical manufacturing tolerances are applicable to these X, Y, and Z values and that an airfoil  100  having a profile substantially in accordance with those values includes such tolerances. 
     As noted previously, the airfoil  100  may also be coated for protection against corrosion, erosion, wear, and oxidation after the airfoil  100  is manufactured, according to the values in any of TABLES I and II and within the tolerances explained above. For example, the coating region may include one or more corrosion resistant layers, erosion resistant layers, wear resistant layers, oxidation resistant or anti-oxidation layers, or any combination thereof. For example, in embodiments where the airfoil is measured in inches, an anti-corrosion coating may be provided with an average thickness of 0.008 inches (0.20 mm), or between 0.001 and 0.1 inches (between 0.025 and 2.5 mm), or between 0.0001 and 1 inches or more (between 0.0025 and 12.7 mm or more). For example, in certain embodiments, the coating may increase X and Y values of a suction side or a pressure side in any of TABLES I and II by no greater than approximately 3.5 mm along a first suction portion, a first pressure portion, or both. It is to be noted that additional anti-oxidation coatings may be provided, such as overcoats. The values provided in each of TABLES I and II exclude a coated region or coatings of the airfoil  100 . In other words, these values correspond to the bare surface of the airfoil  100 . The coated region may include one or more coating layers, surface treatments, or a combination thereof, over the bare surface of the airfoil  100 . 
     TABLES I and II below each contain Cartesian coordinate data of an airfoil shape  150  of an airfoil  100 , which may be incorporated into the compressor section  14  of the gas turbine  10 . 
     In exemplary embodiments, TABLE I below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a stator vane  50 , which is disposed in the mid stage  62  of the compressor section  14 . Specifically, TABLE I below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a stator vane  50 , which is disposed in the seventeenth stage S17 of the compressor section  14 . 
     
       
         
           
               
               
               
             
               
                 TABLE I 
               
             
            
               
                   
               
               
                   
                 PRESSURE SIDE 
                 SUCTION SIDE 
               
            
           
           
               
               
               
               
               
               
               
            
               
                 N 
                 X 
                 Y 
                 Z 
                 X 
                 Y 
                 Z 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 1 
                 −0.530 
                 −0.665 
                 −0.006 
                 0.743 
                 0.672 
                 −0.006 
               
               
                 2 
                 −0.529 
                 −0.665 
                 −0.006 
                 0.742 
                 0.673 
                 −0.006 
               
               
                 3 
                 −0.528 
                 −0.665 
                 −0.006 
                 0.742 
                 0.674 
                 −0.006 
               
               
                 4 
                 −0.527 
                 −0.665 
                 −0.006 
                 0.740 
                 0.676 
                 −0.006 
               
               
                 5 
                 −0.524 
                 −0.664 
                 −0.006 
                 0.737 
                 0.678 
                 −0.006 
               
               
                 6 
                 −0.520 
                 −0.661 
                 −0.006 
                 0.730 
                 0.679 
                 −0.006 
               
               
                 7 
                 −0.515 
                 −0.655 
                 −0.006 
                 0.722 
                 0.676 
                 −0.006 
               
               
                 8 
                 −0.508 
                 −0.646 
                 −0.006 
                 0.711 
                 0.672 
                 −0.006 
               
               
                 9 
                 −0.502 
                 −0.632 
                 −0.006 
                 0.696 
                 0.666 
                 −0.006 
               
               
                 10 
                 −0.494 
                 −0.615 
                 −0.006 
                 0.677 
                 0.659 
                 −0.006 
               
               
                 11 
                 −0.485 
                 −0.592 
                 −0.006 
                 0.653 
                 0.649 
                 −0.006 
               
               
                 12 
                 −0.474 
                 −0.566 
                 −0.006 
                 0.625 
                 0.638 
                 −0.006 
               
               
                 13 
                 −0.462 
                 −0.538 
                 −0.006 
                 0.595 
                 0.626 
                 −0.006 
               
               
                 14 
                 −0.448 
                 −0.507 
                 −0.006 
                 0.563 
                 0.614 
                 −0.006 
               
               
                 15 
                 −0.432 
                 −0.473 
                 −0.006 
                 0.528 
                 0.600 
                 −0.006 
               
               
                 16 
                 −0.413 
                 −0.436 
                 −0.006 
                 0.487 
                 0.583 
                 −0.006 
               
               
                 17 
                 −0.393 
                 −0.398 
                 −0.006 
                 0.445 
                 0.565 
                 −0.006 
               
               
                 18 
                 −0.371 
                 −0.358 
                 −0.006 
                 0.401 
                 0.546 
                 −0.006 
               
               
                 19 
                 −0.347 
                 −0.317 
                 −0.006 
                 0.355 
                 0.526 
                 −0.006 
               
               
                 20 
                 −0.321 
                 −0.276 
                 −0.006 
                 0.308 
                 0.504 
                 −0.006 
               
               
                 21 
                 −0.293 
                 −0.234 
                 −0.006 
                 0.259 
                 0.480 
                 −0.006 
               
               
                 22 
                 −0.262 
                 −0.191 
                 −0.006 
                 0.209 
                 0.455 
                 −0.006 
               
               
                 23 
                 −0.229 
                 −0.147 
                 −0.006 
                 0.158 
                 0.427 
                 −0.006 
               
               
                 24 
                 −0.193 
                 −0.103 
                 −0.006 
                 0.106 
                 0.397 
                 −0.006 
               
               
                 25 
                 −0.156 
                 −0.060 
                 −0.006 
                 0.055 
                 0.365 
                 −0.006 
               
               
                 26 
                 −0.119 
                 −0.018 
                 −0.006 
                 0.006 
                 0.331 
                 −0.006 
               
               
                 27 
                 −0.080 
                 0.024 
                 −0.006 
                 −0.043 
                 0.296 
                 −0.006 
               
               
                 28 
                 −0.041 
                 0.065 
                 −0.006 
                 −0.090 
                 0.259 
                 −0.006 
               
               
                 29 
                 −0.002 
                 0.105 
                 −0.006 
                 −0.135 
                 0.219 
                 −0.006 
               
               
                 30 
                 0.038 
                 0.145 
                 −0.006 
                 −0.178 
                 0.177 
                 −0.006 
               
               
                 31 
                 0.079 
                 0.185 
                 −0.006 
                 −0.219 
                 0.133 
                 −0.006 
               
               
                 32 
                 0.120 
                 0.223 
                 −0.006 
                 −0.258 
                 0.087 
                 −0.006 
               
               
                 33 
                 0.162 
                 0.261 
                 −0.006 
                 −0.293 
                 0.039 
                 −0.006 
               
               
                 34 
                 0.205 
                 0.298 
                 −0.006 
                 −0.327 
                 −0.011 
                 −0.006 
               
               
                 35 
                 0.249 
                 0.334 
                 −0.006 
                 −0.358 
                 −0.063 
                 −0.006 
               
               
                 36 
                 0.292 
                 0.367 
                 −0.006 
                 −0.385 
                 −0.114 
                 −0.006 
               
               
                 37 
                 0.335 
                 0.399 
                 −0.006 
                 −0.409 
                 −0.164 
                 −0.006 
               
               
                 38 
                 0.376 
                 0.429 
                 −0.006 
                 −0.431 
                 −0.214 
                 −0.006 
               
               
                 39 
                 0.416 
                 0.457 
                 −0.006 
                 −0.450 
                 −0.262 
                 −0.006 
               
               
                 40 
                 0.456 
                 0.483 
                 −0.006 
                 −0.467 
                 −0.309 
                 −0.006 
               
               
                 41 
                 0.493 
                 0.508 
                 −0.006 
                 −0.482 
                 −0.355 
                 −0.006 
               
               
                 42 
                 0.530 
                 0.531 
                 −0.006 
                 −0.495 
                 −0.399 
                 −0.006 
               
               
                 43 
                 0.565 
                 0.553 
                 −0.006 
                 −0.507 
                 −0.442 
                 −0.006 
               
               
                 44 
                 0.596 
                 0.572 
                 −0.006 
                 −0.517 
                 −0.480 
                 −0.006 
               
               
                 45 
                 0.623 
                 0.589 
                 −0.006 
                 −0.525 
                 −0.516 
                 −0.006 
               
               
                 46 
                 0.649 
                 0.604 
                 −0.006 
                 −0.532 
                 −0.547 
                 −0.006 
               
               
                 47 
                 0.673 
                 0.619 
                 −0.006 
                 −0.538 
                 −0.576 
                 −0.006 
               
               
                 48 
                 0.694 
                 0.631 
                 −0.006 
                 −0.542 
                 −0.602 
                 −0.006 
               
               
                 49 
                 0.711 
                 0.641 
                 −0.006 
                 −0.543 
                 −0.622 
                 −0.006 
               
               
                 50 
                 0.723 
                 0.649 
                 −0.006 
                 −0.543 
                 −0.638 
                 −0.006 
               
               
                 51 
                 0.733 
                 0.655 
                 −0.006 
                 −0.541 
                 −0.650 
                 −0.006 
               
               
                 52 
                 0.740 
                 0.659 
                 −0.006 
                 −0.538 
                 −0.658 
                 −0.006 
               
               
                 53 
                 0.743 
                 0.665 
                 −0.006 
                 −0.535 
                 −0.662 
                 −0.006 
               
               
                 54 
                 0.744 
                 0.669 
                 −0.006 
                 −0.532 
                 −0.664 
                 −0.006 
               
               
                 55 
                 0.743 
                 0.671 
                 −0.006 
                 −0.531 
                 −0.665 
                 −0.006 
               
               
                 56 
                 0.743 
                 0.672 
                 −0.006 
                 −0.530 
                 −0.665 
                 −0.006 
               
               
                 57 
                 −0.534 
                 −0.632 
                 0.057 
                 0.737 
                 0.644 
                 0.057 
               
               
                 58 
                 −0.534 
                 −0.632 
                 0.057 
                 0.737 
                 0.645 
                 0.057 
               
               
                 59 
                 −0.533 
                 −0.632 
                 0.057 
                 0.737 
                 0.646 
                 0.057 
               
               
                 60 
                 −0.532 
                 −0.632 
                 0.057 
                 0.735 
                 0.647 
                 0.057 
               
               
                 61 
                 −0.529 
                 −0.632 
                 0.057 
                 0.732 
                 0.650 
                 0.057 
               
               
                 62 
                 −0.525 
                 −0.629 
                 0.057 
                 0.725 
                 0.651 
                 0.057 
               
               
                 63 
                 −0.519 
                 −0.623 
                 0.057 
                 0.717 
                 0.648 
                 0.057 
               
               
                 64 
                 −0.513 
                 −0.614 
                 0.057 
                 0.706 
                 0.644 
                 0.057 
               
               
                 65 
                 −0.505 
                 −0.602 
                 0.057 
                 0.692 
                 0.638 
                 0.057 
               
               
                 66 
                 −0.497 
                 −0.585 
                 0.057 
                 0.673 
                 0.631 
                 0.057 
               
               
                 67 
                 −0.487 
                 −0.564 
                 0.057 
                 0.650 
                 0.622 
                 0.057 
               
               
                 68 
                 −0.475 
                 −0.539 
                 0.057 
                 0.623 
                 0.612 
                 0.057 
               
               
                 69 
                 −0.462 
                 −0.513 
                 0.057 
                 0.594 
                 0.600 
                 0.057 
               
               
                 70 
                 −0.447 
                 −0.483 
                 0.057 
                 0.563 
                 0.588 
                 0.057 
               
               
                 71 
                 −0.429 
                 −0.451 
                 0.057 
                 0.529 
                 0.575 
                 0.057 
               
               
                 72 
                 −0.409 
                 −0.416 
                 0.057 
                 0.489 
                 0.559 
                 0.057 
               
               
                 73 
                 −0.387 
                 −0.380 
                 0.057 
                 0.448 
                 0.541 
                 0.057 
               
               
                 74 
                 −0.364 
                 −0.343 
                 0.057 
                 0.405 
                 0.523 
                 0.057 
               
               
                 75 
                 −0.338 
                 −0.304 
                 0.057 
                 0.360 
                 0.503 
                 0.057 
               
               
                 76 
                 −0.311 
                 −0.265 
                 0.057 
                 0.314 
                 0.482 
                 0.057 
               
               
                 77 
                 −0.281 
                 −0.226 
                 0.057 
                 0.267 
                 0.460 
                 0.057 
               
               
                 78 
                 −0.250 
                 −0.185 
                 0.057 
                 0.218 
                 0.435 
                 0.057 
               
               
                 79 
                 −0.216 
                 −0.144 
                 0.057 
                 0.168 
                 0.409 
                 0.057 
               
               
                 80 
                 −0.180 
                 −0.102 
                 0.057 
                 0.118 
                 0.380 
                 0.057 
               
               
                 81 
                 −0.144 
                 −0.061 
                 0.057 
                 0.068 
                 0.350 
                 0.057 
               
               
                 82 
                 −0.106 
                 −0.021 
                 0.057 
                 0.019 
                 0.318 
                 0.057 
               
               
                 83 
                 −0.068 
                 0.019 
                 0.057 
                 −0.029 
                 0.285 
                 0.057 
               
               
                 84 
                 −0.030 
                 0.059 
                 0.057 
                 −0.076 
                 0.249 
                 0.057 
               
               
                 85 
                 0.009 
                 0.097 
                 0.057 
                 −0.120 
                 0.212 
                 0.057 
               
               
                 86 
                 0.049 
                 0.136 
                 0.057 
                 −0.163 
                 0.173 
                 0.057 
               
               
                 87 
                 0.089 
                 0.174 
                 0.057 
                 −0.204 
                 0.131 
                 0.057 
               
               
                 88 
                 0.130 
                 0.211 
                 0.057 
                 −0.243 
                 0.088 
                 0.057 
               
               
                 89 
                 0.171 
                 0.247 
                 0.057 
                 −0.280 
                 0.042 
                 0.057 
               
               
                 90 
                 0.213 
                 0.282 
                 0.057 
                 −0.314 
                 −0.005 
                 0.057 
               
               
                 91 
                 0.256 
                 0.316 
                 0.057 
                 −0.346 
                 −0.054 
                 0.057 
               
               
                 92 
                 0.299 
                 0.349 
                 0.057 
                 −0.374 
                 −0.103 
                 0.057 
               
               
                 93 
                 0.340 
                 0.379 
                 0.057 
                 −0.400 
                 −0.151 
                 0.057 
               
               
                 94 
                 0.380 
                 0.408 
                 0.057 
                 −0.423 
                 −0.198 
                 0.057 
               
               
                 95 
                 0.420 
                 0.435 
                 0.057 
                 −0.444 
                 −0.244 
                 0.057 
               
               
                 96 
                 0.458 
                 0.461 
                 0.057 
                 −0.462 
                 −0.289 
                 0.057 
               
               
                 97 
                 0.495 
                 0.485 
                 0.057 
                 −0.478 
                 −0.333 
                 0.057 
               
               
                 98 
                 0.530 
                 0.507 
                 0.057 
                 −0.493 
                 −0.375 
                 0.057 
               
               
                 99 
                 0.565 
                 0.528 
                 0.057 
                 −0.506 
                 −0.416 
                 0.057 
               
               
                 100 
                 0.594 
                 0.547 
                 0.057 
                 −0.517 
                 −0.453 
                 0.057 
               
               
                 101 
                 0.621 
                 0.563 
                 0.057 
                 −0.526 
                 −0.487 
                 0.057 
               
               
                 102 
                 0.646 
                 0.578 
                 0.057 
                 −0.533 
                 −0.517 
                 0.057 
               
               
                 103 
                 0.670 
                 0.592 
                 0.057 
                 −0.540 
                 −0.546 
                 0.057 
               
               
                 104 
                 0.690 
                 0.604 
                 0.057 
                 −0.544 
                 −0.571 
                 0.057 
               
               
                 105 
                 0.706 
                 0.614 
                 0.057 
                 −0.547 
                 −0.590 
                 0.057 
               
               
                 106 
                 0.719 
                 0.621 
                 0.057 
                 −0.547 
                 −0.605 
                 0.057 
               
               
                 107 
                 0.728 
                 0.627 
                 0.057 
                 −0.545 
                 −0.617 
                 0.057 
               
               
                 108 
                 0.735 
                 0.631 
                 0.057 
                 −0.542 
                 −0.625 
                 0.057 
               
               
                 109 
                 0.738 
                 0.637 
                 0.057 
                 −0.539 
                 −0.629 
                 0.057 
               
               
                 110 
                 0.738 
                 0.641 
                 0.057 
                 −0.537 
                 −0.631 
                 0.057 
               
               
                 111 
                 0.738 
                 0.643 
                 0.057 
                 −0.535 
                 −0.632 
                 0.057 
               
               
                 112 
                 0.738 
                 0.644 
                 0.057 
                 −0.535 
                 −0.632 
                 0.057 
               
               
                 113 
                 −0.541 
                 −0.575 
                 0.172 
                 0.728 
                 0.593 
                 0.172 
               
               
                 114 
                 −0.541 
                 −0.575 
                 0.172 
                 0.728 
                 0.594 
                 0.172 
               
               
                 115 
                 −0.540 
                 −0.575 
                 0.172 
                 0.727 
                 0.595 
                 0.172 
               
               
                 116 
                 −0.539 
                 −0.575 
                 0.172 
                 0.726 
                 0.596 
                 0.172 
               
               
                 117 
                 −0.536 
                 −0.575 
                 0.172 
                 0.723 
                 0.599 
                 0.172 
               
               
                 118 
                 −0.532 
                 −0.573 
                 0.172 
                 0.717 
                 0.600 
                 0.172 
               
               
                 119 
                 −0.526 
                 −0.568 
                 0.172 
                 0.709 
                 0.597 
                 0.172 
               
               
                 120 
                 −0.519 
                 −0.560 
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                 272 
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                 273 
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                 278 
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                 281 
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                 282 
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                 284 
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                 287 
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                 288 
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                 289 
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                 290 
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                 291 
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                 292 
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                 293 
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                 294 
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                 296 
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                 297 
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                 2.122 
                 −0.542 
                 −0.229 
                 2.122 
               
               
                 826 
                 0.296 
                 0.549 
                 2.122 
                 −0.558 
                 −0.264 
                 2.122 
               
               
                 827 
                 0.327 
                 0.567 
                 2.122 
                 −0.573 
                 −0.298 
                 2.122 
               
               
                 828 
                 0.354 
                 0.582 
                 2.122 
                 −0.586 
                 −0.329 
                 2.122 
               
               
                 829 
                 0.378 
                 0.594 
                 2.122 
                 −0.597 
                 −0.357 
                 2.122 
               
               
                 830 
                 0.401 
                 0.606 
                 2.122 
                 −0.606 
                 −0.382 
                 2.122 
               
               
                 831 
                 0.423 
                 0.617 
                 2.122 
                 −0.613 
                 −0.406 
                 2.122 
               
               
                 832 
                 0.442 
                 0.626 
                 2.122 
                 −0.618 
                 −0.427 
                 2.122 
               
               
                 833 
                 0.456 
                 0.633 
                 2.122 
                 −0.620 
                 −0.444 
                 2.122 
               
               
                 834 
                 0.468 
                 0.639 
                 2.122 
                 −0.621 
                 −0.457 
                 2.122 
               
               
                 835 
                 0.477 
                 0.643 
                 2.122 
                 −0.621 
                 −0.467 
                 2.122 
               
               
                 836 
                 0.484 
                 0.646 
                 2.122 
                 −0.619 
                 −0.475 
                 2.122 
               
               
                 837 
                 0.487 
                 0.650 
                 2.122 
                 −0.617 
                 −0.479 
                 2.122 
               
               
                 838 
                 0.488 
                 0.653 
                 2.122 
                 −0.616 
                 −0.481 
                 2.122 
               
               
                 839 
                 0.488 
                 0.655 
                 2.122 
                 −0.614 
                 −0.481 
                 2.122 
               
               
                 840 
                 0.488 
                 0.656 
                 2.122 
                 −0.614 
                 −0.482 
                 2.122 
               
               
                   
               
            
           
         
       
     
     In exemplary embodiments, TABLE II below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a stator vane  50 , which is disposed in the mid stage  62  of the compressor section  14 . Specifically, TABLE II below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a stator vane  50 , which is disposed in the eighteenth stage S18 of the compressor section  14 . 
     
       
         
           
               
               
               
             
               
                 TABLE II 
               
             
            
               
                   
               
               
                   
                 PRESSURE SIDE 
                 SUCTION SIDE 
               
            
           
           
               
               
               
               
               
               
               
            
               
                 N 
                 X 
                 Y 
                 Z 
                 X 
                 Y 
                 Z 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 1 
                 −0.532 
                 −0.788 
                 −0.005 
                 0.956 
                 0.811 
                 −0.005 
               
               
                 2 
                 −0.531 
                 −0.788 
                 −0.005 
                 0.955 
                 0.811 
                 −0.005 
               
               
                 3 
                 −0.530 
                 −0.788 
                 −0.005 
                 0.955 
                 0.812 
                 −0.005 
               
               
                 4 
                 −0.528 
                 −0.788 
                 −0.005 
                 0.953 
                 0.815 
                 −0.005 
               
               
                 5 
                 −0.525 
                 −0.787 
                 −0.005 
                 0.949 
                 0.817 
                 −0.005 
               
               
                 6 
                 −0.520 
                 −0.784 
                 −0.005 
                 0.941 
                 0.818 
                 −0.005 
               
               
                 7 
                 −0.514 
                 −0.776 
                 −0.005 
                 0.931 
                 0.815 
                 −0.005 
               
               
                 8 
                 −0.506 
                 −0.766 
                 −0.005 
                 0.918 
                 0.809 
                 −0.005 
               
               
                 9 
                 −0.497 
                 −0.750 
                 −0.005 
                 0.901 
                 0.802 
                 −0.005 
               
               
                 10 
                 −0.488 
                 −0.730 
                 −0.005 
                 0.879 
                 0.793 
                 −0.005 
               
               
                 11 
                 −0.476 
                 −0.703 
                 −0.005 
                 0.851 
                 0.781 
                 −0.005 
               
               
                 12 
                 −0.463 
                 −0.673 
                 −0.005 
                 0.818 
                 0.767 
                 −0.005 
               
               
                 13 
                 −0.447 
                 −0.641 
                 −0.005 
                 0.784 
                 0.752 
                 −0.005 
               
               
                 14 
                 −0.430 
                 −0.605 
                 −0.005 
                 0.747 
                 0.736 
                 −0.005 
               
               
                 15 
                 −0.410 
                 −0.565 
                 −0.005 
                 0.706 
                 0.718 
                 −0.005 
               
               
                 16 
                 −0.387 
                 −0.522 
                 −0.005 
                 0.659 
                 0.697 
                 −0.005 
               
               
                 17 
                 −0.362 
                 −0.478 
                 −0.005 
                 0.610 
                 0.674 
                 −0.005 
               
               
                 18 
                 −0.334 
                 −0.432 
                 −0.005 
                 0.559 
                 0.650 
                 −0.005 
               
               
                 19 
                 −0.305 
                 −0.385 
                 −0.005 
                 0.506 
                 0.625 
                 −0.005 
               
               
                 20 
                 −0.273 
                 −0.336 
                 −0.005 
                 0.451 
                 0.597 
                 −0.005 
               
               
                 21 
                 −0.239 
                 −0.287 
                 −0.005 
                 0.395 
                 0.567 
                 −0.005 
               
               
                 22 
                 −0.202 
                 −0.237 
                 −0.005 
                 0.337 
                 0.536 
                 −0.005 
               
               
                 23 
                 −0.163 
                 −0.186 
                 −0.005 
                 0.278 
                 0.501 
                 −0.005 
               
               
                 24 
                 −0.121 
                 −0.134 
                 −0.005 
                 0.218 
                 0.464 
                 −0.005 
               
               
                 25 
                 −0.079 
                 −0.082 
                 −0.005 
                 0.159 
                 0.426 
                 −0.005 
               
               
                 26 
                 −0.035 
                 −0.032 
                 −0.005 
                 0.101 
                 0.385 
                 −0.005 
               
               
                 27 
                 0.009 
                 0.018 
                 −0.005 
                 0.045 
                 0.342 
                 −0.005 
               
               
                 28 
                 0.054 
                 0.067 
                 −0.005 
                 −0.010 
                 0.297 
                 −0.005 
               
               
                 29 
                 0.100 
                 0.116 
                 −0.005 
                 −0.062 
                 0.250 
                 −0.005 
               
               
                 30 
                 0.146 
                 0.164 
                 −0.005 
                 −0.113 
                 0.201 
                 −0.005 
               
               
                 31 
                 0.193 
                 0.211 
                 −0.005 
                 −0.160 
                 0.149 
                 −0.005 
               
               
                 32 
                 0.241 
                 0.258 
                 −0.005 
                 −0.206 
                 0.094 
                 −0.005 
               
               
                 33 
                 0.289 
                 0.303 
                 −0.005 
                 −0.248 
                 0.038 
                 −0.005 
               
               
                 34 
                 0.339 
                 0.348 
                 −0.005 
                 −0.287 
                 −0.021 
                 −0.005 
               
               
                 35 
                 0.389 
                 0.392 
                 −0.005 
                 −0.324 
                 −0.081 
                 −0.005 
               
               
                 36 
                 0.439 
                 0.433 
                 −0.005 
                 −0.357 
                 −0.141 
                 −0.005 
               
               
                 37 
                 0.487 
                 0.472 
                 −0.005 
                 −0.386 
                 −0.200 
                 −0.005 
               
               
                 38 
                 0.535 
                 0.508 
                 −0.005 
                 −0.412 
                 −0.258 
                 −0.005 
               
               
                 39 
                 0.581 
                 0.543 
                 −0.005 
                 −0.435 
                 −0.315 
                 −0.005 
               
               
                 40 
                 0.626 
                 0.576 
                 −0.005 
                 −0.455 
                 −0.370 
                 −0.005 
               
               
                 41 
                 0.670 
                 0.606 
                 −0.005 
                 −0.474 
                 −0.424 
                 −0.005 
               
               
                 42 
                 0.712 
                 0.635 
                 −0.005 
                 −0.490 
                 −0.475 
                 −0.005 
               
               
                 43 
                 0.752 
                 0.663 
                 −0.005 
                 −0.504 
                 −0.525 
                 −0.005 
               
               
                 44 
                 0.787 
                 0.686 
                 −0.005 
                 −0.516 
                 −0.571 
                 −0.005 
               
               
                 45 
                 0.819 
                 0.707 
                 −0.005 
                 −0.526 
                 −0.612 
                 −0.005 
               
               
                 46 
                 0.849 
                 0.727 
                 −0.005 
                 −0.534 
                 −0.649 
                 −0.005 
               
               
                 47 
                 0.876 
                 0.745 
                 −0.005 
                 −0.541 
                 −0.683 
                 −0.005 
               
               
                 48 
                 0.901 
                 0.760 
                 −0.005 
                 −0.546 
                 −0.714 
                 −0.005 
               
               
                 49 
                 0.919 
                 0.772 
                 −0.005 
                 −0.548 
                 −0.737 
                 −0.005 
               
               
                 50 
                 0.934 
                 0.782 
                 −0.005 
                 −0.547 
                 −0.756 
                 −0.005 
               
               
                 51 
                 0.946 
                 0.789 
                 −0.005 
                 −0.545 
                 −0.770 
                 −0.005 
               
               
                 52 
                 0.954 
                 0.795 
                 −0.005 
                 −0.541 
                 −0.780 
                 −0.005 
               
               
                 53 
                 0.957 
                 0.802 
                 −0.005 
                 −0.538 
                 −0.784 
                 −0.005 
               
               
                 54 
                 0.957 
                 0.807 
                 −0.005 
                 −0.535 
                 −0.787 
                 −0.005 
               
               
                 55 
                 0.956 
                 0.809 
                 −0.005 
                 −0.533 
                 −0.787 
                 −0.005 
               
               
                 56 
                 0.956 
                 0.810 
                 −0.005 
                 −0.532 
                 −0.788 
                 −0.005 
               
               
                 57 
                 −0.539 
                 −0.738 
                 0.096 
                 0.951 
                 0.764 
                 0.096 
               
               
                 58 
                 −0.538 
                 −0.738 
                 0.096 
                 0.950 
                 0.765 
                 0.096 
               
               
                 59 
                 −0.538 
                 −0.739 
                 0.096 
                 0.950 
                 0.766 
                 0.096 
               
               
                 60 
                 −0.536 
                 −0.739 
                 0.096 
                 0.948 
                 0.768 
                 0.096 
               
               
                 61 
                 −0.533 
                 −0.738 
                 0.096 
                 0.944 
                 0.771 
                 0.096 
               
               
                 62 
                 −0.528 
                 −0.735 
                 0.096 
                 0.937 
                 0.772 
                 0.096 
               
               
                 63 
                 −0.521 
                 −0.729 
                 0.096 
                 0.927 
                 0.769 
                 0.096 
               
               
                 64 
                 −0.513 
                 −0.719 
                 0.096 
                 0.915 
                 0.763 
                 0.096 
               
               
                 65 
                 −0.504 
                 −0.704 
                 0.096 
                 0.898 
                 0.756 
                 0.096 
               
               
                 66 
                 −0.493 
                 −0.685 
                 0.096 
                 0.877 
                 0.748 
                 0.096 
               
               
                 67 
                 −0.480 
                 −0.661 
                 0.096 
                 0.850 
                 0.736 
                 0.096 
               
               
                 68 
                 −0.465 
                 −0.633 
                 0.096 
                 0.818 
                 0.723 
                 0.096 
               
               
                 69 
                 −0.448 
                 −0.603 
                 0.096 
                 0.785 
                 0.709 
                 0.096 
               
               
                 70 
                 −0.428 
                 −0.569 
                 0.096 
                 0.750 
                 0.694 
                 0.096 
               
               
                 71 
                 −0.406 
                 −0.533 
                 0.096 
                 0.710 
                 0.677 
                 0.096 
               
               
                 72 
                 −0.380 
                 −0.493 
                 0.096 
                 0.664 
                 0.656 
                 0.096 
               
               
                 73 
                 −0.353 
                 −0.452 
                 0.096 
                 0.617 
                 0.635 
                 0.096 
               
               
                 74 
                 −0.324 
                 −0.410 
                 0.096 
                 0.568 
                 0.612 
                 0.096 
               
               
                 75 
                 −0.292 
                 −0.366 
                 0.096 
                 0.517 
                 0.587 
                 0.096 
               
               
                 76 
                 −0.259 
                 −0.322 
                 0.096 
                 0.464 
                 0.561 
                 0.096 
               
               
                 77 
                 −0.223 
                 −0.276 
                 0.096 
                 0.409 
                 0.533 
                 0.096 
               
               
                 78 
                 −0.185 
                 −0.229 
                 0.096 
                 0.353 
                 0.503 
                 0.096 
               
               
                 79 
                 −0.145 
                 −0.182 
                 0.096 
                 0.296 
                 0.471 
                 0.096 
               
               
                 80 
                 −0.103 
                 −0.133 
                 0.096 
                 0.238 
                 0.436 
                 0.096 
               
               
                 81 
                 −0.060 
                 −0.085 
                 0.096 
                 0.180 
                 0.400 
                 0.096 
               
               
                 82 
                 −0.017 
                 −0.038 
                 0.096 
                 0.124 
                 0.362 
                 0.096 
               
               
                 83 
                 0.028 
                 0.009 
                 0.096 
                 0.068 
                 0.322 
                 0.096 
               
               
                 84 
                 0.072 
                 0.056 
                 0.096 
                 0.015 
                 0.281 
                 0.096 
               
               
                 85 
                 0.117 
                 0.102 
                 0.096 
                 −0.037 
                 0.237 
                 0.096 
               
               
                 86 
                 0.163 
                 0.147 
                 0.096 
                 −0.088 
                 0.191 
                 0.096 
               
               
                 87 
                 0.209 
                 0.192 
                 0.096 
                 −0.136 
                 0.143 
                 0.096 
               
               
                 88 
                 0.256 
                 0.236 
                 0.096 
                 −0.182 
                 0.093 
                 0.096 
               
               
                 89 
                 0.304 
                 0.279 
                 0.096 
                 −0.225 
                 0.041 
                 0.096 
               
               
                 90 
                 0.352 
                 0.322 
                 0.096 
                 −0.266 
                 −0.014 
                 0.096 
               
               
                 91 
                 0.401 
                 0.363 
                 0.096 
                 −0.305 
                 −0.070 
                 0.096 
               
               
                 92 
                 0.450 
                 0.402 
                 0.096 
                 −0.340 
                 −0.125 
                 0.096 
               
               
                 93 
                 0.497 
                 0.439 
                 0.096 
                 −0.371 
                 −0.181 
                 0.096 
               
               
                 94 
                 0.543 
                 0.474 
                 0.096 
                 −0.399 
                 −0.235 
                 0.096 
               
               
                 95 
                 0.588 
                 0.508 
                 0.096 
                 −0.424 
                 −0.288 
                 0.096 
               
               
                 96 
                 0.632 
                 0.539 
                 0.096 
                 −0.447 
                 −0.340 
                 0.096 
               
               
                 97 
                 0.674 
                 0.568 
                 0.096 
                 −0.467 
                 −0.391 
                 0.096 
               
               
                 98 
                 0.715 
                 0.596 
                 0.096 
                 −0.485 
                 −0.440 
                 0.096 
               
               
                 99 
                 0.754 
                 0.622 
                 0.096 
                 −0.501 
                 −0.487 
                 0.096 
               
               
                 100 
                 0.788 
                 0.645 
                 0.096 
                 −0.515 
                 −0.530 
                 0.096 
               
               
                 101 
                 0.819 
                 0.665 
                 0.096 
                 −0.526 
                 −0.569 
                 0.096 
               
               
                 102 
                 0.847 
                 0.683 
                 0.096 
                 −0.536 
                 −0.604 
                 0.096 
               
               
                 103 
                 0.874 
                 0.701 
                 0.096 
                 −0.544 
                 −0.637 
                 0.096 
               
               
                 104 
                 0.898 
                 0.716 
                 0.096 
                 −0.550 
                 −0.666 
                 0.096 
               
               
                 105 
                 0.916 
                 0.727 
                 0.096 
                 −0.553 
                 −0.689 
                 0.096 
               
               
                 106 
                 0.930 
                 0.737 
                 0.096 
                 −0.553 
                 −0.707 
                 0.096 
               
               
                 107 
                 0.941 
                 0.743 
                 0.096 
                 −0.551 
                 −0.720 
                 0.096 
               
               
                 108 
                 0.949 
                 0.749 
                 0.096 
                 −0.548 
                 −0.730 
                 0.096 
               
               
                 109 
                 0.952 
                 0.756 
                 0.096 
                 −0.544 
                 −0.735 
                 0.096 
               
               
                 110 
                 0.952 
                 0.760 
                 0.096 
                 −0.542 
                 −0.737 
                 0.096 
               
               
                 111 
                 0.951 
                 0.763 
                 0.096 
                 −0.540 
                 −0.738 
                 0.096 
               
               
                 112 
                 0.951 
                 0.764 
                 0.096 
                 −0.539 
                 −0.738 
                 0.096 
               
               
                 113 
                 −0.548 
                 −0.686 
                 0.208 
                 0.946 
                 0.714 
                 0.208 
               
               
                 114 
                 −0.547 
                 −0.687 
                 0.208 
                 0.946 
                 0.715 
                 0.208 
               
               
                 115 
                 −0.547 
                 −0.687 
                 0.208 
                 0.945 
                 0.716 
                 0.208 
               
               
                 116 
                 −0.545 
                 −0.687 
                 0.208 
                 0.943 
                 0.718 
                 0.208 
               
               
                 117 
                 −0.542 
                 −0.687 
                 0.208 
                 0.940 
                 0.720 
                 0.208 
               
               
                 118 
                 −0.537 
                 −0.685 
                 0.208 
                 0.933 
                 0.722 
                 0.208 
               
               
                 119 
                 −0.529 
                 −0.679 
                 0.208 
                 0.923 
                 0.719 
                 0.208 
               
               
                 120 
                 −0.521 
                 −0.670 
                 0.208 
                 0.911 
                 0.714 
                 0.208 
               
               
                 121 
                 −0.511 
                 −0.657 
                 0.208 
                 0.895 
                 0.707 
                 0.208 
               
               
                 122 
                 −0.499 
                 −0.640 
                 0.208 
                 0.875 
                 0.699 
                 0.208 
               
               
                 123 
                 −0.484 
                 −0.618 
                 0.208 
                 0.849 
                 0.688 
                 0.208 
               
               
                 124 
                 −0.467 
                 −0.592 
                 0.208 
                 0.819 
                 0.676 
                 0.208 
               
               
                 125 
                 −0.448 
                 −0.565 
                 0.208 
                 0.786 
                 0.662 
                 0.208 
               
               
                 126 
                 −0.426 
                 −0.534 
                 0.208 
                 0.752 
                 0.648 
                 0.208 
               
               
                 127 
                 −0.402 
                 −0.501 
                 0.208 
                 0.714 
                 0.631 
                 0.208 
               
               
                 128 
                 −0.375 
                 −0.464 
                 0.208 
                 0.670 
                 0.612 
                 0.208 
               
               
                 129 
                 −0.346 
                 −0.426 
                 0.208 
                 0.625 
                 0.592 
                 0.208 
               
               
                 130 
                 −0.315 
                 −0.388 
                 0.208 
                 0.577 
                 0.570 
                 0.208 
               
               
                 131 
                 −0.282 
                 −0.348 
                 0.208 
                 0.528 
                 0.547 
                 0.208 
               
               
                 132 
                 −0.247 
                 −0.307 
                 0.208 
                 0.477 
                 0.522 
                 0.208 
               
               
                 133 
                 −0.210 
                 −0.265 
                 0.208 
                 0.425 
                 0.496 
                 0.208 
               
               
                 134 
                 −0.171 
                 −0.222 
                 0.208 
                 0.370 
                 0.467 
                 0.208 
               
               
                 135 
                 −0.130 
                 −0.177 
                 0.208 
                 0.315 
                 0.437 
                 0.208 
               
               
                 136 
                 −0.088 
                 −0.132 
                 0.208 
                 0.258 
                 0.405 
                 0.208 
               
               
                 137 
                 −0.045 
                 −0.088 
                 0.208 
                 0.202 
                 0.371 
                 0.208 
               
               
                 138 
                 −0.001 
                 −0.043 
                 0.208 
                 0.147 
                 0.336 
                 0.208 
               
               
                 139 
                 0.043 
                 0.001 
                 0.208 
                 0.093 
                 0.299 
                 0.208 
               
               
                 140 
                 0.087 
                 0.044 
                 0.208 
                 0.040 
                 0.261 
                 0.208 
               
               
                 141 
                 0.132 
                 0.087 
                 0.208 
                 −0.011 
                 0.221 
                 0.208 
               
               
                 142 
                 0.177 
                 0.130 
                 0.208 
                 −0.062 
                 0.179 
                 0.208 
               
               
                 143 
                 0.223 
                 0.172 
                 0.208 
                 −0.110 
                 0.135 
                 0.208 
               
               
                 144 
                 0.269 
                 0.213 
                 0.208 
                 −0.157 
                 0.089 
                 0.208 
               
               
                 145 
                 0.316 
                 0.254 
                 0.208 
                 −0.201 
                 0.042 
                 0.208 
               
               
                 146 
                 0.364 
                 0.293 
                 0.208 
                 −0.244 
                 −0.008 
                 0.208 
               
               
                 147 
                 0.412 
                 0.332 
                 0.208 
                 −0.284 
                 −0.059 
                 0.208 
               
               
                 148 
                 0.460 
                 0.370 
                 0.208 
                 −0.321 
                 −0.111 
                 0.208 
               
               
                 149 
                 0.506 
                 0.405 
                 0.208 
                 −0.354 
                 −0.162 
                 0.208 
               
               
                 150 
                 0.551 
                 0.438 
                 0.208 
                 −0.385 
                 −0.212 
                 0.208 
               
               
                 151 
                 0.594 
                 0.469 
                 0.208 
                 −0.412 
                 −0.261 
                 0.208 
               
               
                 152 
                 0.637 
                 0.499 
                 0.208 
                 −0.437 
                 −0.310 
                 0.208 
               
               
                 153 
                 0.678 
                 0.527 
                 0.208 
                 −0.460 
                 −0.357 
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                 499 
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                 500 
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                 507 
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                 −0.514 
                 2.218 
                 0.691 
                 0.739 
                 2.218 
               
               
                 683 
                 −0.545 
                 −0.493 
                 2.218 
                 0.667 
                 0.729 
                 2.218 
               
               
                 684 
                 −0.529 
                 −0.469 
                 2.218 
                 0.641 
                 0.717 
                 2.218 
               
               
                 685 
                 −0.512 
                 −0.444 
                 2.218 
                 0.612 
                 0.704 
                 2.218 
               
               
                 686 
                 −0.493 
                 −0.415 
                 2.218 
                 0.582 
                 0.690 
                 2.218 
               
               
                 687 
                 −0.471 
                 −0.384 
                 2.218 
                 0.548 
                 0.673 
                 2.218 
               
               
                 688 
                 −0.447 
                 −0.349 
                 2.218 
                 0.509 
                 0.653 
                 2.218 
               
               
                 689 
                 −0.422 
                 −0.313 
                 2.218 
                 0.469 
                 0.632 
                 2.218 
               
               
                 690 
                 −0.395 
                 −0.276 
                 2.218 
                 0.428 
                 0.610 
                 2.218 
               
               
                 691 
                 −0.366 
                 −0.238 
                 2.218 
                 0.385 
                 0.585 
                 2.218 
               
               
                 692 
                 −0.336 
                 −0.198 
                 2.218 
                 0.341 
                 0.560 
                 2.218 
               
               
                 693 
                 −0.303 
                 −0.158 
                 2.218 
                 0.296 
                 0.532 
                 2.218 
               
               
                 694 
                 −0.270 
                 −0.116 
                 2.218 
                 0.249 
                 0.502 
                 2.218 
               
               
                 695 
                 −0.234 
                 −0.074 
                 2.218 
                 0.202 
                 0.471 
                 2.218 
               
               
                 696 
                 −0.197 
                 −0.030 
                 2.218 
                 0.153 
                 0.437 
                 2.218 
               
               
                 697 
                 −0.159 
                 0.013 
                 2.218 
                 0.105 
                 0.402 
                 2.218 
               
               
                 698 
                 −0.120 
                 0.055 
                 2.218 
                 0.058 
                 0.367 
                 2.218 
               
               
                 699 
                 −0.081 
                 0.097 
                 2.218 
                 0.012 
                 0.330 
                 2.218 
               
               
                 700 
                 −0.041 
                 0.139 
                 2.218 
                 −0.033 
                 0.291 
                 2.218 
               
               
                 701 
                 0.000 
                 0.180 
                 2.218 
                 −0.076 
                 0.252 
                 2.218 
               
               
                 702 
                 0.040 
                 0.220 
                 2.218 
                 −0.119 
                 0.211 
                 2.218 
               
               
                 703 
                 0.082 
                 0.260 
                 2.218 
                 −0.160 
                 0.169 
                 2.218 
               
               
                 704 
                 0.124 
                 0.299 
                 2.218 
                 −0.201 
                 0.125 
                 2.218 
               
               
                 705 
                 0.166 
                 0.338 
                 2.218 
                 −0.240 
                 0.081 
                 2.218 
               
               
                 706 
                 0.210 
                 0.375 
                 2.218 
                 −0.277 
                 0.036 
                 2.218 
               
               
                 707 
                 0.254 
                 0.412 
                 2.218 
                 −0.314 
                 −0.010 
                 2.218 
               
               
                 708 
                 0.297 
                 0.447 
                 2.218 
                 −0.349 
                 −0.056 
                 2.218 
               
               
                 709 
                 0.339 
                 0.480 
                 2.218 
                 −0.381 
                 −0.101 
                 2.218 
               
               
                 710 
                 0.381 
                 0.511 
                 2.218 
                 −0.411 
                 −0.144 
                 2.218 
               
               
                 711 
                 0.421 
                 0.540 
                 2.218 
                 −0.439 
                 −0.187 
                 2.218 
               
               
                 712 
                 0.460 
                 0.567 
                 2.218 
                 −0.466 
                 −0.229 
                 2.218 
               
               
                 713 
                 0.499 
                 0.593 
                 2.218 
                 −0.490 
                 −0.269 
                 2.218 
               
               
                 714 
                 0.536 
                 0.617 
                 2.218 
                 −0.513 
                 −0.308 
                 2.218 
               
               
                 715 
                 0.571 
                 0.640 
                 2.218 
                 −0.534 
                 −0.346 
                 2.218 
               
               
                 716 
                 0.602 
                 0.659 
                 2.218 
                 −0.553 
                 −0.380 
                 2.218 
               
               
                 717 
                 0.630 
                 0.675 
                 2.218 
                 −0.570 
                 −0.412 
                 2.218 
               
               
                 718 
                 0.657 
                 0.691 
                 2.218 
                 −0.584 
                 −0.440 
                 2.218 
               
               
                 719 
                 0.682 
                 0.705 
                 2.218 
                 −0.595 
                 −0.467 
                 2.218 
               
               
                 720 
                 0.704 
                 0.717 
                 2.218 
                 −0.604 
                 −0.491 
                 2.218 
               
               
                 721 
                 0.720 
                 0.726 
                 2.218 
                 −0.609 
                 −0.510 
                 2.218 
               
               
                 722 
                 0.734 
                 0.733 
                 2.218 
                 −0.612 
                 −0.525 
                 2.218 
               
               
                 723 
                 0.744 
                 0.738 
                 2.218 
                 −0.613 
                 −0.537 
                 2.218 
               
               
                 724 
                 0.752 
                 0.743 
                 2.218 
                 −0.612 
                 −0.546 
                 2.218 
               
               
                 725 
                 0.755 
                 0.748 
                 2.218 
                 −0.610 
                 −0.551 
                 2.218 
               
               
                 726 
                 0.756 
                 0.752 
                 2.218 
                 −0.609 
                 −0.553 
                 2.218 
               
               
                 727 
                 0.755 
                 0.754 
                 2.218 
                 −0.608 
                 −0.554 
                 2.218 
               
               
                 728 
                 0.755 
                 0.755 
                 2.218 
                 −0.607 
                 −0.555 
                 2.218 
               
               
                 729 
                 −0.619 
                 −0.579 
                 2.343 
                 0.713 
                 0.786 
                 2.343 
               
               
                 730 
                 −0.619 
                 −0.579 
                 2.343 
                 0.713 
                 0.786 
                 2.343 
               
               
                 731 
                 −0.618 
                 −0.579 
                 2.343 
                 0.712 
                 0.787 
                 2.343 
               
               
                 732 
                 −0.616 
                 −0.579 
                 2.343 
                 0.711 
                 0.789 
                 2.343 
               
               
                 733 
                 −0.613 
                 −0.579 
                 2.343 
                 0.707 
                 0.791 
                 2.343 
               
               
                 734 
                 −0.609 
                 −0.576 
                 2.343 
                 0.700 
                 0.791 
                 2.343 
               
               
                 735 
                 −0.602 
                 −0.571 
                 2.343 
                 0.692 
                 0.788 
                 2.343 
               
               
                 736 
                 −0.594 
                 −0.562 
                 2.343 
                 0.681 
                 0.783 
                 2.343 
               
               
                 737 
                 −0.585 
                 −0.550 
                 2.343 
                 0.666 
                 0.777 
                 2.343 
               
               
                 738 
                 −0.574 
                 −0.534 
                 2.343 
                 0.648 
                 0.770 
                 2.343 
               
               
                 739 
                 −0.561 
                 −0.512 
                 2.343 
                 0.624 
                 0.760 
                 2.343 
               
               
                 740 
                 −0.547 
                 −0.487 
                 2.343 
                 0.596 
                 0.747 
                 2.343 
               
               
                 741 
                 −0.532 
                 −0.460 
                 2.343 
                 0.567 
                 0.734 
                 2.343 
               
               
                 742 
                 −0.514 
                 −0.430 
                 2.343 
                 0.536 
                 0.720 
                 2.343 
               
               
                 743 
                 −0.495 
                 −0.396 
                 2.343 
                 0.502 
                 0.704 
                 2.343 
               
               
                 744 
                 −0.473 
                 −0.360 
                 2.343 
                 0.463 
                 0.684 
                 2.343 
               
               
                 745 
                 −0.449 
                 −0.322 
                 2.343 
                 0.422 
                 0.663 
                 2.343 
               
               
                 746 
                 −0.424 
                 −0.283 
                 2.343 
                 0.380 
                 0.640 
                 2.343 
               
               
                 747 
                 −0.397 
                 −0.242 
                 2.343 
                 0.336 
                 0.615 
                 2.343 
               
               
                 748 
                 −0.369 
                 −0.200 
                 2.343 
                 0.292 
                 0.588 
                 2.343 
               
               
                 749 
                 −0.339 
                 −0.158 
                 2.343 
                 0.246 
                 0.560 
                 2.343 
               
               
                 750 
                 −0.307 
                 −0.114 
                 2.343 
                 0.199 
                 0.530 
                 2.343 
               
               
                 751 
                 −0.273 
                 −0.069 
                 2.343 
                 0.151 
                 0.497 
                 2.343 
               
               
                 752 
                 −0.237 
                 −0.023 
                 2.343 
                 0.102 
                 0.462 
                 2.343 
               
               
                 753 
                 −0.201 
                 0.022 
                 2.343 
                 0.055 
                 0.426 
                 2.343 
               
               
                 754 
                 −0.163 
                 0.067 
                 2.343 
                 0.008 
                 0.388 
                 2.343 
               
               
                 755 
                 −0.125 
                 0.111 
                 2.343 
                 −0.038 
                 0.349 
                 2.343 
               
               
                 756 
                 −0.086 
                 0.154 
                 2.343 
                 −0.082 
                 0.308 
                 2.343 
               
               
                 757 
                 −0.046 
                 0.196 
                 2.343 
                 −0.125 
                 0.267 
                 2.343 
               
               
                 758 
                 −0.006 
                 0.238 
                 2.343 
                 −0.166 
                 0.223 
                 2.343 
               
               
                 759 
                 0.035 
                 0.280 
                 2.343 
                 −0.206 
                 0.178 
                 2.343 
               
               
                 760 
                 0.077 
                 0.320 
                 2.343 
                 −0.245 
                 0.133 
                 2.343 
               
               
                 761 
                 0.119 
                 0.360 
                 2.343 
                 −0.282 
                 0.086 
                 2.343 
               
               
                 762 
                 0.162 
                 0.399 
                 2.343 
                 −0.318 
                 0.038 
                 2.343 
               
               
                 763 
                 0.206 
                 0.437 
                 2.343 
                 −0.353 
                 −0.011 
                 2.343 
               
               
                 764 
                 0.249 
                 0.473 
                 2.343 
                 −0.386 
                 −0.059 
                 2.343 
               
               
                 765 
                 0.292 
                 0.507 
                 2.343 
                 −0.416 
                 −0.106 
                 2.343 
               
               
                 766 
                 0.333 
                 0.539 
                 2.343 
                 −0.445 
                 −0.152 
                 2.343 
               
               
                 767 
                 0.374 
                 0.569 
                 2.343 
                 −0.471 
                 −0.196 
                 2.343 
               
               
                 768 
                 0.414 
                 0.597 
                 2.343 
                 −0.495 
                 −0.240 
                 2.343 
               
               
                 769 
                 0.452 
                 0.623 
                 2.343 
                 −0.518 
                 −0.282 
                 2.343 
               
               
                 770 
                 0.490 
                 0.647 
                 2.343 
                 −0.539 
                 −0.323 
                 2.343 
               
               
                 771 
                 0.526 
                 0.670 
                 2.343 
                 −0.559 
                 −0.362 
                 2.343 
               
               
                 772 
                 0.557 
                 0.689 
                 2.343 
                 −0.576 
                 −0.398 
                 2.343 
               
               
                 773 
                 0.586 
                 0.706 
                 2.343 
                 −0.591 
                 −0.431 
                 2.343 
               
               
                 774 
                 0.613 
                 0.721 
                 2.343 
                 −0.603 
                 −0.461 
                 2.343 
               
               
                 775 
                 0.638 
                 0.735 
                 2.343 
                 −0.614 
                 −0.489 
                 2.343 
               
               
                 776 
                 0.660 
                 0.747 
                 2.343 
                 −0.621 
                 −0.514 
                 2.343 
               
               
                 777 
                 0.677 
                 0.756 
                 2.343 
                 −0.625 
                 −0.533 
                 2.343 
               
               
                 778 
                 0.691 
                 0.764 
                 2.343 
                 −0.627 
                 −0.549 
                 2.343 
               
               
                 779 
                 0.701 
                 0.769 
                 2.343 
                 −0.627 
                 −0.561 
                 2.343 
               
               
                 780 
                 0.709 
                 0.773 
                 2.343 
                 −0.625 
                 −0.570 
                 2.343 
               
               
                 781 
                 0.713 
                 0.778 
                 2.343 
                 −0.623 
                 −0.575 
                 2.343 
               
               
                 782 
                 0.714 
                 0.782 
                 2.343 
                 −0.621 
                 −0.577 
                 2.343 
               
               
                 783 
                 0.714 
                 0.784 
                 2.343 
                 −0.620 
                 −0.578 
                 2.343 
               
               
                 784 
                 0.713 
                 0.785 
                 2.343 
                 −0.619 
                 −0.579 
                 2.343 
               
               
                 785 
                 −0.633 
                 −0.614 
                 2.491 
                 0.660 
                 0.819 
                 2.491 
               
               
                 786 
                 −0.633 
                 −0.615 
                 2.491 
                 0.659 
                 0.820 
                 2.491 
               
               
                 787 
                 −0.632 
                 −0.615 
                 2.491 
                 0.659 
                 0.821 
                 2.491 
               
               
                 788 
                 −0.630 
                 −0.615 
                 2.491 
                 0.657 
                 0.823 
                 2.491 
               
               
                 789 
                 −0.627 
                 −0.614 
                 2.491 
                 0.654 
                 0.825 
                 2.491 
               
               
                 790 
                 −0.623 
                 −0.611 
                 2.491 
                 0.647 
                 0.824 
                 2.491 
               
               
                 791 
                 −0.617 
                 −0.605 
                 2.491 
                 0.638 
                 0.821 
                 2.491 
               
               
                 792 
                 −0.610 
                 −0.595 
                 2.491 
                 0.627 
                 0.817 
                 2.491 
               
               
                 793 
                 −0.601 
                 −0.582 
                 2.491 
                 0.612 
                 0.811 
                 2.491 
               
               
                 794 
                 −0.592 
                 −0.565 
                 2.491 
                 0.593 
                 0.803 
                 2.491 
               
               
                 795 
                 −0.581 
                 −0.541 
                 2.491 
                 0.568 
                 0.793 
                 2.491 
               
               
                 796 
                 −0.569 
                 −0.514 
                 2.491 
                 0.540 
                 0.781 
                 2.491 
               
               
                 797 
                 −0.556 
                 −0.485 
                 2.491 
                 0.510 
                 0.768 
                 2.491 
               
               
                 798 
                 −0.542 
                 −0.453 
                 2.491 
                 0.478 
                 0.754 
                 2.491 
               
               
                 799 
                 −0.525 
                 −0.417 
                 2.491 
                 0.443 
                 0.738 
                 2.491 
               
               
                 800 
                 −0.506 
                 −0.378 
                 2.491 
                 0.402 
                 0.718 
                 2.491 
               
               
                 801 
                 −0.486 
                 −0.337 
                 2.491 
                 0.360 
                 0.697 
                 2.491 
               
               
                 802 
                 −0.464 
                 −0.295 
                 2.491 
                 0.317 
                 0.674 
                 2.491 
               
               
                 803 
                 −0.441 
                 −0.252 
                 2.491 
                 0.272 
                 0.649 
                 2.491 
               
               
                 804 
                 −0.415 
                 −0.207 
                 2.491 
                 0.226 
                 0.622 
                 2.491 
               
               
                 805 
                 −0.388 
                 −0.161 
                 2.491 
                 0.180 
                 0.593 
                 2.491 
               
               
                 806 
                 −0.359 
                 −0.114 
                 2.491 
                 0.132 
                 0.561 
                 2.491 
               
               
                 807 
                 −0.327 
                 −0.066 
                 2.491 
                 0.083 
                 0.527 
                 2.491 
               
               
                 808 
                 −0.294 
                 −0.018 
                 2.491 
                 0.034 
                 0.491 
                 2.491 
               
               
                 809 
                 −0.259 
                 0.030 
                 2.491 
                 −0.014 
                 0.452 
                 2.491 
               
               
                 810 
                 −0.223 
                 0.078 
                 2.491 
                 −0.061 
                 0.412 
                 2.491 
               
               
                 811 
                 −0.186 
                 0.124 
                 2.491 
                 −0.106 
                 0.371 
                 2.491 
               
               
                 812 
                 −0.148 
                 0.169 
                 2.491 
                 −0.149 
                 0.327 
                 2.491 
               
               
                 813 
                 −0.109 
                 0.214 
                 2.491 
                 −0.191 
                 0.282 
                 2.491 
               
               
                 814 
                 −0.068 
                 0.257 
                 2.491 
                 −0.231 
                 0.236 
                 2.491 
               
               
                 815 
                 −0.028 
                 0.300 
                 2.491 
                 −0.269 
                 0.188 
                 2.491 
               
               
                 816 
                 0.014 
                 0.343 
                 2.491 
                 −0.306 
                 0.139 
                 2.491 
               
               
                 817 
                 0.056 
                 0.384 
                 2.491 
                 −0.342 
                 0.089 
                 2.491 
               
               
                 818 
                 0.099 
                 0.425 
                 2.491 
                 −0.376 
                 0.038 
                 2.491 
               
               
                 819 
                 0.143 
                 0.465 
                 2.491 
                 −0.408 
                 −0.014 
                 2.491 
               
               
                 820 
                 0.187 
                 0.502 
                 2.491 
                 −0.438 
                 −0.065 
                 2.491 
               
               
                 821 
                 0.230 
                 0.537 
                 2.491 
                 −0.466 
                 −0.115 
                 2.491 
               
               
                 822 
                 0.272 
                 0.570 
                 2.491 
                 −0.491 
                 −0.164 
                 2.491 
               
               
                 823 
                 0.313 
                 0.600 
                 2.491 
                 −0.514 
                 −0.212 
                 2.491 
               
               
                 824 
                 0.353 
                 0.629 
                 2.491 
                 −0.536 
                 −0.259 
                 2.491 
               
               
                 825 
                 0.392 
                 0.655 
                 2.491 
                 −0.556 
                 −0.304 
                 2.491 
               
               
                 826 
                 0.431 
                 0.680 
                 2.491 
                 −0.574 
                 −0.347 
                 2.491 
               
               
                 827 
                 0.468 
                 0.703 
                 2.491 
                 −0.590 
                 −0.389 
                 2.491 
               
               
                 828 
                 0.500 
                 0.722 
                 2.491 
                 −0.605 
                 −0.427 
                 2.491 
               
               
                 829 
                 0.529 
                 0.739 
                 2.491 
                 −0.617 
                 −0.462 
                 2.491 
               
               
                 830 
                 0.556 
                 0.754 
                 2.491 
                 −0.627 
                 −0.493 
                 2.491 
               
               
                 831 
                 0.582 
                 0.769 
                 2.491 
                 −0.635 
                 −0.522 
                 2.491 
               
               
                 832 
                 0.605 
                 0.781 
                 2.491 
                 −0.640 
                 −0.548 
                 2.491 
               
               
                 833 
                 0.623 
                 0.790 
                 2.491 
                 −0.643 
                 −0.569 
                 2.491 
               
               
                 834 
                 0.637 
                 0.797 
                 2.491 
                 −0.643 
                 −0.585 
                 2.491 
               
               
                 835 
                 0.647 
                 0.803 
                 2.491 
                 −0.642 
                 −0.597 
                 2.491 
               
               
                 836 
                 0.655 
                 0.807 
                 2.491 
                 −0.640 
                 −0.606 
                 2.491 
               
               
                 837 
                 0.660 
                 0.812 
                 2.491 
                 −0.638 
                 −0.611 
                 2.491 
               
               
                 838 
                 0.661 
                 0.815 
                 2.491 
                 −0.636 
                 −0.613 
                 2.491 
               
               
                 839 
                 0.660 
                 0.818 
                 2.491 
                 −0.634 
                 −0.614 
                 2.491 
               
               
                 840 
                 0.660 
                 0.819 
                 2.491 
                 −0.633 
                 −0.614 
                 2.491 
               
               
                   
               
            
           
         
       
     
     It will also be appreciated that the airfoil  100  disclosed in any one of the above TABLES I and II may be scaled up or down geometrically for use in other similar turbine designs. Consequently, the coordinate values set forth in each of TABLES I and II may be scaled upwardly or downwardly such that the airfoil profile shape remains unchanged. A scaled version of the coordinates in each of TABLES I and II would be represented by X, Y, and Z coordinate values, with the X, Y, and Z non-dimensional coordinate values converted to units of distance (e.g., inches), multiplied or divided by a constant number. 
     As shown in  FIG.  4   , each airfoil  100  may define a stagger angle α (alpha) measured between the chord line  110  and the axial direction A of the gas turbine  10 . Specifically, the stagger angle α may be measured between the chord line  110  of an airfoil  100  and the axial centerline  23  (or rotary axis) of the gas turbine  10  at the trailing edge  108  of the airfoil  100 . The stagger angle α of each airfoil  100  disclosed herein may advantageously vary along the span-wise direction  118  (or radial direction R) according to a respective stagger angle distribution. The stagger angle distribution may be a collection of stagger angles α for a given airfoil  100  at each span-wise location (or radial location) along the airfoil  100 . 
     In many embodiments, each stage S1-S22 of rotor blades  44  may include a unique stagger angle distribution, such that the collective utilization of the stages S1-S22 of rotor blades  44  will yield a highly efficient compressor section  14 . For example, each of the airfoils  100  of the rotor blades  44  within the first stage S1 may have a first stagger angle distribution, each of the airfoils  100  of the rotor blades  44  within the second stage S2 may have a second stagger angle distribution, and so on for each rotating stage (S1-S22) of the compressor section  14 . 
     Similarly, each stage S1-S22 of stator vanes  50  may include a unique stagger angle distribution, such that the collective utilization of the stages S1-S22 of stator vanes  50  will yield a highly efficient compressor section  14 . For example, each of the airfoils  100  of the stator vanes  50  within the first stage S1 may have a first stagger angle distribution, each of the airfoils  100  of the stator vanes  50  within the second stage S2 may have a second stagger angle distribution, and so on for each stationary stage (S1-S22) of the compressor section  14 . 
     In accordance with embodiments of the present disclosure,  FIGS.  5  and  6    each illustrate a graph of a stagger angle distribution, which may belong to one or more airfoils  100  within a specified stage (e.g., S1-S22) of the compressor section  14 . Each of the graphs may be in non-dimensional units. Specifically, the y-axis illustrates a percentage along the span-wise direction  118  (e.g., with 0% span representing the inner diameter and 100% span representing the outer diameter). For example, with a rotor blade  44 , 0% span may represent the base of the airfoil  100 , and 100% span may represent the tip of the airfoil  100 . As for a stator vane  50 , 0% span may represent the tip of the airfoil  100 , and 100% span may represent the base of the airfoil  100 . The x-axis illustrates a ratio between the stagger angle at a specified span-wise location and the mid-span stagger angle (e.g., at about 50% span). 
     Each of the stagger angle distributions is plotted between 15% span and 85% span of the respective airfoil  100  to which it belongs (e.g., 0%-15% span and 85%-100% span points are omitted). Each stagger angle distribution, when implemented in an airfoil  100  on a rotor blade  44  and/or a stator vane  50  within the compressor section  14 , advantageously increases the aerodynamic efficiency of the airfoil  100  (as well as the entire compressor section  14 ) when compared to prior designs. 
     In particular,  FIG.  5    is a graph of a stagger angle distribution, plotted from 15% to 85% span of an airfoil  100  belonging to a stator vane  50  within the seventeenth stage S17 (i.e., a seventeenth stage stator vane). In some embodiments, all of the stator vanes  50  within the seventeenth stage S17 of the compressor section  14  may include an airfoil  100  having a profile defined by the X, Y, and Z coordinate values of TABLE I and the stagger angle distribution according to  FIG.  5   . The stagger angle distribution shown in  FIG.  5    is plotted according to the points in TABLE III below. 
     
       
         
           
               
             
               
                 TABLE III 
               
             
            
               
                   
               
               
                 Stage Seventeen 
               
               
                 Stator Vane Airfoil 
               
            
           
           
               
               
               
            
               
                   
                 (%) 
                 — 
               
               
                   
                 Span 
                 Stagger/Midspan Stagger 
               
               
                   
                   
               
               
                   
                 85.00% 
                 1.133 
               
               
                   
                 81.17% 
                 1.088 
               
               
                   
                 68.65% 
                 1.000 
               
               
                   
                 62.25% 
                 0.989 
               
               
                   
                 49.13% 
                 1.001 
               
               
                   
                 42.48% 
                 1.015 
               
               
                   
                 29.16% 
                 1.064 
               
               
                   
                 22.53% 
                 1.107 
               
               
                   
                 15.00% 
                 1.173 
               
               
                   
                   
               
            
           
         
       
     
       FIG.  6    is a graph of a stagger angle distribution, plotted from 15% to 85% span of an airfoil  100  belonging to a stator vane  50  within the eighteenth stage S18 (i.e., an eighteenth stage stator vane). In some embodiments, all of the stator vanes  50  within the eighteenth stage S18 of the compressor section  14  may include an airfoil  100  having a profile defined by the X, Y, and Z coordinate values of TABLE II and the stagger distribution according to  FIG.  6   . The stagger angle distribution shown in  FIG.  6    is plotted according to the points in TABLE IV below. 
     
       
         
           
               
             
               
                 TABLE IV 
               
             
            
               
                   
               
               
                 Stage Eighteen 
               
               
                 Stator Vane Airfoil 
               
            
           
           
               
               
               
            
               
                   
                 (%) 
                 — 
               
               
                   
                 Span 
                 Stagger/Midspan Stagger 
               
               
                   
                   
               
               
                   
                 85.00% 
                 1.091 
               
               
                   
                 81.31% 
                 1.055 
               
               
                   
                 68.42% 
                 0.991 
               
               
                   
                 61.90% 
                 0.987 
               
               
                   
                 48.61% 
                 1.002 
               
               
                   
                 41.94% 
                 1.016 
               
               
                   
                 28.63% 
                 1.065 
               
               
                   
                 22.03% 
                 1.106 
               
               
                   
                 15.00% 
                 1.164 
               
               
                   
                   
               
            
           
         
       
     
     The disclosed airfoil shape optimizes and is specific to the machine conditions and specifications. It provides a unique profile to achieve 1) interaction between other stages in the compressor section  14 ; 2) aerodynamic efficiency; and 3) normalized aerodynamic and mechanical blade loadings. The disclosed loci of points defined in each of TABLES I and II allow the gas turbine  10  or any other suitable turbine to run in an efficient, safe and smooth manner. As also noted, the disclosed airfoil  100  may be adapted to any scale, as long as 1) interaction between other stages in the compressor section  14 ; 2) aerodynamic efficiency; and 3) normalized aerodynamic and mechanical blade loadings are maintained in the scaled turbine. 
     The airfoil  100  described herein thus improves overall gas turbine  10  efficiency. The airfoil  100  also meets all aeromechanical and stress requirements. For example, the airfoil  100  of the stator vane  50  thus is of a specific shape to meet aerodynamic, mechanical, and heat transfer requirements in an efficient and cost-effective manner. 
     This written description uses examples to disclose the invention, including the best mode, and also to enable any person skilled in the art to practice the invention, including making and using any devices or systems and performing any incorporated methods. The patentable scope of the invention is defined by the claims, and may include other examples that occur to those skilled in the art. Such other examples are intended to be within the scope of the claims if they include structural elements that do not differ from the literal language of the claims, or if they include equivalent structural elements with insubstantial differences from the literal language of the claims. 
     Further aspects of the invention are provided by the subject matter of the following clauses: 
     A stator vane comprising: an airfoil having an airfoil shape, the airfoil shape having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y, and Z set forth in one of TABLE I or TABLE II, the Cartesian coordinate values of X, Y, and Z being defined relative to a point data origin at a base of the airfoil, wherein the Cartesian coordinate values of X, Y, and Z are non-dimensional values that are convertible to dimensional distances expressed in a unit of distance by multiplying the Cartesian coordinate values of X, Y, and Z by a scaling factor of the airfoil in the unit of distance; and wherein X and Y values are connected by smooth continuing arcs to define airfoil profile sections at each Z value, the airfoil profile sections at Z values being joined smoothly with one another to form a complete airfoil shape. 
     The stator vane of any of the preceding clauses, wherein the airfoil includes a stagger angle distribution, each stagger angle in the stagger angle distribution being measured between a chord line of the airfoil and a rotary axis of the airfoil; wherein, when the airfoil is defined by the Cartesian coordinate values of X, Y, and Z set forth in TABLE I, the stagger angle distribution is defined in accordance with TABLE III; and wherein, when the airfoil is defined by the Cartesian coordinate values of X, Y, and Z set forth in TABLE II, the stagger angle distribution is defined in accordance with TABLE IV. 
     The stator vane of any of the preceding clauses, wherein the stator vane forms part of a mid stage of a compressor section. 
     The stator vane of any of the preceding clauses, wherein the stator vane is defined by TABLE I and is a seventeenth stage compressor stator vane. 
     The stator vane of any of the preceding clauses, wherein the stator vane is defined by TABLE II and is an eighteenth stage compressor stator vane. 
     The stator vane of any of the preceding clauses, wherein the airfoil shape lies in an envelope within +/−5% of a chord length in a direction normal to any airfoil surface location. 
     The stator vane of any of the preceding clauses, wherein the scaling factor is between about 0.01 inches and about 10 inches. 
     The stator vane of any of the preceding clauses, wherein the X, Y, and Z values are scalable as a function of the same constant or number to provide a scaled-up or scaled-down airfoil. 
     A stator vane comprising: an airfoil having a nominal suction-side profile substantially in accordance with suction-side Cartesian coordinate values of X, Y, and Z set forth in one of TABLE I or TABLE II, the Cartesian coordinate values of X, Y, and Z being defined relative to a point data origin at a base of the airfoil, wherein the Cartesian coordinate values of X, Y, and Z are non-dimensional values that are convertible to dimensional distances expressed in a unit of distance by multiplying the Cartesian coordinate values of X, Y, and Z by a scaling factor of the airfoil in the unit of distance; and wherein X and Y values are connected by smooth continuing arcs to define suction-side profile sections at each Z value, the suction-side profile sections at the Z values being joined smoothly with one another to form a complete airfoil suction-side shape. 
     The stator vane of any of the preceding clauses, wherein the airfoil includes a stagger angle distribution, each stagger angle in the stagger angle distribution being measured between a chord line of the airfoil and a rotary axis of the airfoil; wherein, when the airfoil has the nominal suction-side profile defined by the Cartesian coordinate values of X, Y, and Z set forth in TABLE I, the stagger angle distribution is defined in accordance with TABLE III; and wherein, when the airfoil has the nominal suction-side profile defined by the Cartesian coordinate values of X, Y, and Z set forth in TABLE II, the stagger angle distribution is defined in accordance with TABLE IV. 
     The stator vane any of the preceding clauses, wherein the stator vane forms part of a mid stage of a compressor section. 
     The stator vane any of the preceding clauses, wherein the stator vane is defined by TABLE I and is a seventeenth stage compressor stator vane. 
     The stator vane of any of the preceding clauses, wherein the stator vane is defined by TABLE II and is an eighteenth stage compressor stator vane. 
     The stator vane of any of the preceding clauses, wherein the nominal suction-side profile lies in an envelope within +/−5% of a chord length in a direction normal to any airfoil surface location. 
     The stator vane of any of the preceding clauses, wherein the scaling factor is between about 0.01 inches and about 10 inches. 
     The stator vane of any of the preceding clauses, wherein the X, Y, and Z values are scalable as a function of the same constant or number to provide a scaled-up or scaled-down airfoil. 
     A turbomachine comprising: a compressor section; a turbine section downstream from the compressor section; a combustion section downstream from the compressor section and upstream from the turbine section; and a stator vane disposed within the compressor section, the stator vane comprising: an airfoil having an airfoil shape, the airfoil shape having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y, and Z set forth in one of TABLE I or TABLE II, the Cartesian coordinate values of X, Y, and Z being defined relative to a point data origin at a base of the airfoil, wherein the Cartesian coordinate values of X, Y, and Z are non-dimensional values that are convertible to dimensional distances expressed in a unit of distance by multiplying the Cartesian coordinate values of X, Y, and Z by a height of the airfoil in the unit of distance; and wherein X and Y values are connected by smooth continuing arcs to define airfoil profile sections at each Z value, the airfoil profile sections at Z values being joined smoothly with one another to form a complete airfoil shape. 
     The turbomachine of any of the preceding clauses, wherein the airfoil includes a stagger angle distribution, each stagger angle in the stagger angle distribution being measured between a chord line of the airfoil and a rotary axis of the airfoil; wherein, when the airfoil has the nominal suction-side profile defined by the Cartesian coordinate values of X, Y, and Z set forth in TABLE I, the stagger angle distribution is defined in accordance with TABLE III; and wherein, when the airfoil has the nominal suction-side profile defined by the Cartesian coordinate values of X, Y, and Z set forth in TABLE II, the stagger angle distribution is defined in accordance with TABLE IV.