Allomorph
A particular morpheme is not represented everywhere by the same morph, but by different morphs in different environments. These alternative representation of a morpheme is called allomorphs.
Examples
The plural morpheme in English is regularly represented by the allomorphs [s], [z] and [iz]. The rule is as follows:
(i) kicks [kiks];
(ii) if the morph ends in one of the voiced phonemes (including the vowels), /s/ is represented by [z] (cats [kats]);
(iii) if the morph representing the noun morpheme with which /s/ is combined to form the plural ends with a sibilant ([s], [z] etc.), /s/ is represented by [iz] (sizes [saiziz]).
Other languages
German Allomorph (de) Chinese 语素变体
Reference
Lyons, John. 1968. Introduction to Theoretical Linguistics. Cambridge: Cambridge University Press.