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From The Free On-line Dictionary of Computing (05 January 2017) [foldoc]:
name capture
In beta reduction, when a term containing a
free occurrence of a variable v is substituted into another
term where v is bound the free v becomes spuriously bound or
"captured". E.g.
(\ x . \ y . x y) y --> \ y . y y (WRONG)
This problem arises because two distinct variables have the
same name. The most common solution is to rename the bound
variable using alpha conversion:
(\ x . \ y' . x y') y --> \ y' . y y'
Another solution is to use de Bruijn notation.
Note that the argument expression, y, contained a {free
variable}. The whole expression above must therefore be
notionally contained within the body of some {lambda
abstraction} which binds y. If we never reduce inside the
body of a lambda abstraction (as in reduction to {weak head
normal form}) then name capture cannot occur.
(1995-03-14)