On December 3, 1911, Carrier presented what is perhaps the most significant document ever prepared on air conditioning – Rational Psychrometric Formulae – at the annual meeting of the American Society of Mechanical Engineers. It became known as the "Magna Carta of Psychrometrics".
International recognition for her work had been growing to new heights, and the Royal Swedish Academy of Sciences, overcoming opposition prompted by the Langevin scandal, honored her a second time, with the 1911 Nobel Prize in Chemistry. This award was "in recognition of her services to the advancement of chemistry by the discovery of the elements radium and polonium, by the isolation of radium and the study of the nature and compounds of this remarkable element."
An independence movement took place that was not limited to just North (outer) Mongolia but was a pan-Mongolian phenomenon. On 29 December 1911, Bogd Khan became the leader of the Mongol empire. Inner Mongolia became a contested terrain between Khan and the Republic. In general, Russia supported the Independence of Outer Mongolia (including Tannu Uriankhai) during the time of the Xinhai Revolution. Tibet and Mongolia then recognized each other in a treaty.