Can a multi factor model with GFI=0.9, have reliability of few factors low (i.e. alpha=0.5)?

01 January 1970 0 4K Report

I am preparing a personality model with 7 factors. In CFA, the goodness of model fit is 0.9. But three factors have alpha value 0.5.

Is this condition acceptable? Shall I accept such a model? If no, What are the cures?

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