I would like to type a company name which contains a greek letter, e.g.
Name\:$\alpha$,
but I would like the lowercase greek symbol to be the size of a capital letter, which I have hacked using
Name\:\scalebox{1.6}[1.6]{$ \alpha $}. Here are the two outputs:
What would be a best way to achieve the desired result so that when I 'capitalise' the lowercase greek letter it is scaled to the size of an uppercase letter (maintaining its aspect ratio).
Any help would be appreciated, as I have struggled to find anything similar online.

\settowidthin the scenario I wanted to scale\alphato the width of e.g.M? – oliversm Jun 14 '16 at 15:08\resizebox{\CapLen}{!}{$\alpha$}. – StefanH Jun 14 '16 at 15:51