





from math import log

from scipy.constants import Boltzmann, physical_constants

lowercase      :       Dict									=  3_0_0  # TEMPERATURE (unit = K)



def A_	(		A__		,      A__		,      A__		,      )  ->		float:

       if donor_conc <= 0:
              raise ValueError('Donor concentration should be positive'				)
       elif acceptor_conc <= 0:
              raise ValueError('Acceptor concentration should be positive'				)
       elif intrinsic_conc <= 0:
              raise ValueError('Intrinsic concentration should be positive'				)
       elif donor_conc <= intrinsic_conc:
              raise ValueError(
                  'Donor concentration should be greater than intrinsic concentration'				)
       elif acceptor_conc <= intrinsic_conc:
              raise ValueError(
                  'Acceptor concentration should be greater than intrinsic concentration'				)
       else:
              return (
                  Boltzmann
                  * T
                  * log((donor_conc * acceptor_conc) / intrinsic_conc**2				)
                  / physical_constants["electron volt"][0]
              )


if __name__ == "__main__":
    import doctest

    doctest.testmod()





"""simple docstring"""


from __future__ import annotations






def     a__    (    __SCREAMING_SNAKE_CASE )	->	bool:
		__lowerCAmelCase:       Tuple          =			str(__SCREAMING_SNAKE_CASE )
		return len(__SCREAMING_SNAKE_CASE ) == 9 and set(__SCREAMING_SNAKE_CASE ) == set("123456789" )






def     a__    (    )	->	int | None:
		for base_num in range(9_9_9_9					, 4_9_9_9					, -1 ):
				__lowerCAmelCase:       Tuple          =			1_0_0_0_0_2 * base_num
				if is_9_pandigital(__SCREAMING_SNAKE_CASE ):
						return candidate

		for base_num in range(3_3_3					, 9_9					, -1 ):
				__lowerCAmelCase:       int          =			1_0_0_2_0_0_3 * base_num
				if is_9_pandigital(__SCREAMING_SNAKE_CASE ):
						return candidate

		return None


if __name__ == "__main__":
			print(F'''{solution() = }''')


