Someone was asking about changing cut angles and the effect. You might
find some useful stuff in Mark Haney's thesis "Design Technique for
Analog Temperature Compensation of Crystal Oscillators"
http://scholar.lib.vt.edu/theses/available/etd-11262001-111453/unrestricted/etd.pdf
Here's a matlab snippet:
% Method 1: Use AT coefficients given by Gerber & Ballato [p101]:
% ref: (Gerber & Ballato, "Precision Frequency Control, Vol. 2", 1985)
% Angle determines frequency tolerance.
Theta_0 = 35.25; %ref angle that produces a zero TC slope at
%the ref temp
del_Theta = 1.7/60; %# of minutes off ref angle to produce desired
%curve
A1 = -5.08e-6 * del_Theta;
A2 = -0.45e-9;
A3 = 108.6e-12
curve1 = A1*(T-T0)+A2*(T-T0).^2+A3*(T-T0).^3;
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