Convergent calidity

by. Zencaroline
Convergent validity also requires that SMCs be equal to or greater than .5 along with pattern coeffieicnts equal to or greater than .7. Other useful assessments are composite reliability and Average Variance Extracted. Composite reliability should be equal to or greater than .7 and AVE should be greater than .5.
Convergent validity is assessed by the correlation among items which make up the scale or instrument measuring a construct (internal consistency validity)
Internal consistency is a type of convergent validity which seeks to assure there is at least moderate correlation among the indicators for a construct
Cronbach's alpha is commonly used to establish internal consistency construct validity, with .60 considered acceptable for exploratory purposes, .70 considered adequate for confirmatory purposes, and .80 considered good for confirmatory purposes.
Average variance extracted (AVE) s above 0.5 are treated as indications of convergent validity.
Convergent validity also requires that SMCs be equal to or greater than .5 along with pattern coeffieicnts equal to or greater than .7.

look at this link below:
http://zencaroline.blogspot.com/2007/05/convergent-validity.html