Hello Andrew,
With my eshel spectrograph, at ambiante air temperature (room about 20°C), when the temperature go up about one degree Celcius, the shift of the wavelength (mesure with Thorium lamp) is about a maximum of 0,4 pixel (in the blue part of the spectrum : order 52) and about 0,3 pixel around H-alpha.
According to the dispersion of this spectrograph with my CCD, about 0,176 Å/pixel, the variation at ambiante air (no régulation) is about 0,07 Å/pixel.
I will try to do a regulation about 0,1 - 0,2 deg Celsius with PT100 sensor class A (I can have some better accuracy if I use DIN 1/10 sensor plus it's too expensive).
So I expect to have about a maximum of 0,1 pixel shift with this regulation. (0,017 Å/pixel)
The main problem is to find the right settings for the PID regulation module.
For my wine, I have a real cellar under my house with a constant temperature of 11°C all around the year
Just natural regulation here...