Calculating the Gap Mean and Gap Variance Pools
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There are different calculations for the gap pools depending on whether you have specified shift or drift (variation expansion) factors for the elements and which gap specifications are given. See the notation used in the equations below:

1.

Mean shift factor only

mPool

s2Pool

No gap specification

sGap,LT [Zp - Z.BenchGap,LT]

0

 

 

 

 

Lower gap specification only

sGap,LT [Zp - Z.BenchGap,LT]

0

 

 

 

 

Upper gap specification only

sGap,LT [Z.BenchGap,LT - Zp]

0

 

 

 

 

Both gap specifications

0

s2adj,LT - s2Gap,LT  *

 * where if

mGap,LT=

[USL + LSL]

then,

s2adj,LT=

Z.USLGap,LT

sGap,LT

2

Z p / 2

or else, s2adj,LT  is the unique solution to:

 

 

2.

Variation expansion factor only
OR
Both mean shift factor and variation expansion factor

mPool

s2Pool

One or no gap specification

0

 

Note   s2Pool = 0, if T=LSL or T=USL and Zp = 0

 

 

 

Both gap specifications

0

s2adj,LT - s2Gap,LT   

 * where if

mGap,LT=

[USL + LSL]

then,

s2adj,LT=

Z.USLGap,LT

sGap,LT

2

Z p / 2

or else, s2adj,LT  is the unique solution to: