Hybridization problem about guanidine.

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The discussion centers on the hybridization of atoms in guanidine. It is noted that the central carbon atom exhibits sp2 hybridization, retaining one unhybridized p orbital. The nitrogen atom that is doubly bonded to carbon is identified as sp hybridized, while the other two nitrogen atoms are considered to be sp2 hybridized. There is a caution against definitively labeling an atom as a specific hybridization type, emphasizing the importance of considering the presence of a free electron pair on the nitrogen atom with only one hydrogen attached. This highlights the complexity of hybridization in molecular structures.
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Structure of guanidine is as follows:
800px-Guanidine-2D-skeletal.png

The central carbon atom is obviously of sp2 hybridization and there is 1 unhybridized p orbital remaining. I suppose that the N atom doubly-bonded to C is of sp hybridization and the other 2 N atoms are of sp2 hybridization. Am I right?
 
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First I want to express my general objections against saying that an atom "is" sp however hybridized.
Having said this, I would like to remind you of the free electron pair on the N with only one H attached to it.
 
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