Carbon thermometer for very low temperature
Measuring low temperature is an art which has fascinated me a lot. It is a such a big deal that few companies are making good money out of it, e.g. Lakeshore cryogenics. Please do not me get it wrong but it is an art very few people know about it. Making perfect resistance bridge and avoiding grounding loops and avoiding EMI interference is a big deal, i.e. Lakeshore has the big chunk of the pie. Their resistances bridges are very famous. I have seen all the big companies (Oxford Instruments, Janis, Leiden cryogenics) using it for low-temperature measurements. Although there is one more company which I know makes resistance bridges is Picowatt(http://www.picowatt.fi/index1.html). There are various scale to calibrate the equipment at low temperature. They have been given different names:
Leiden Scale: The Leiden scale (°L) was used to calibrate low-temperature indirect measurements of Helium vapour pressure.
International temperature scale of 1990:
ITS-90 is an approximation of the thermodynamic temperature scale that facilitates the comparability and compatibility of temperature measurements internationally. The lowest temperature covered by ITS-90 is 0.65 K.
Provisional Low-temperature scale of 2000: PLTS 2000 is an equipment calibration standard for making measurements of very low temperatures, in the range of 0.9 mK to 1 K.
Suppose you notice that you have very stiff requirements for measuring low temperatures. Typically, measuring the temperature from room temperature to 1K people uses Cernox thin film, and below that, up to 50 mK, people use RuO2 thin film. Now each Cernox has to be calibrated against some standard sensor, while RuO2 behaves very well so if you calibrate one of the chips from a batch of many resistors, they will behave more or less same. Each calibrated thermometer can cost you around 6000$. To measure lower temperature than these scientists are using flux noise thermometer (http://www.magnicon.com), Co-60 crystals.
This prompted us to make cheap thermometers, this publication by Gábor A. Csáthy et al. (https://link.springer.com/article/10.1007/s10909-010-0192-5) showed us light to make cheap thermometers, although it seems very easy, it takes quite a lot of practice, myself have broken many thermometers. I did calibrate a thermometer, but it is not very good, but it gave me confidence that we will go through. I think reproducible was bad; it can be because I did not thermal recycled in liquid Helium to get thermometers' stability. In the below images, I will show some of the thermometer's machined body made by me, although it has been inspired by the author of the above paper and Lakeshore cryogenics. I will show a typical curve of the Carbon thermometer up to 50 mK.