Alpha in the psych package

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I am working with the results of a test with 14 items, all of which are dichotomous (1 - right answer, 0 - wrong). Is it possible to use omega to estimate reliability if I have dichotomous items? Why does psych::alpha give a different coefficient of Alpha than psych::omega? In psych::alpha, it is Cronbach's alpha, and in psych::omega, it should be too, but there are different coefficients (0.64 and 0.75).

psych::omega(var1, poly=TRUE)
Alpha:                 0.75 
G.6:                   0.77 
Omega Hierarchical:    0.49 
Omega H asymptotic:    0.63 
Omega Total            0.78 


psych::alpha(x = var1)
raw_alpha std.alpha G6(smc) 
  0.64      0.64    0.63  
0

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