[time-nuts] equations for crystals, frequency vs temp vs angles
Jim Lux
jimlux at earthlink.net
Fri Aug 28 13:29:33 UTC 2015
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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