Room temperature is not an issue. Some of the fillers that help the look of clarity degrade with long term exposure to UV light, sunlight. Temperature in those stones is not the issue.
Emeralds can chip or abrade more readily than many other high quality gemstones because they are relatively soft. Not too soft, but they do require extra care in wearing them unlike diamonds.
Super fine columbian emerald in 1ct plus can be in excess of $5000 per carat and possibly up to 10K per carat if you shop in high price places. You will find this material Very difficult to obtain. Reasonably fine emerald is above $3K per carat in one carat size.
African (Zambian), and Brazilian origin emeralds are somewhat less costly but occasionaly may be found in relatively fine qualities. They cost somewhat less than Columbian. They are rarely quite as good in color.