-Mikko's comment-
This is a great free-to-read overview on how quantum mechanical calculations help chemical industry, both in predicting properties and giving better understanding of the systems and the processes.
The key issues covered are:
* Method development
* Benchmarking (what is the quality of predictions)
* Modeling chemical reactions (in gas phase or in solutions, or in catalysis and on surfaces)
* Characterizing structures and predicting new ones, explaining experimental spectroscopic results
* Calculating excitations (energies, reactivities of excited states)
Link to the article:
http://onlinelibrary.wiley.com/doi/10.1002/qua.24811/abstract
h/t @physicsteo
My own interests link most closely to the fourth point (see for example our recent article http://goo.gl/FxjgUH).
Sabine Hossenfelder (@skdh) writes about the possible existence of the smallest length in the universe, the fundamental smallest possible difference in position.
This is the Planck length: 10^30 times smaller than the diameter of the blood cell, or 10^20 times smaller than the nucleus.
Does such a fundamental limit exist? And if yes, what are the consequences? Or in other words, is there a limit how sharp the resolution can be?
Read more about this fundamental and open question:
https://medium.com/starts-with-a-bang/the-smallest-possible-scale-in-the-universe-9e79497b9945