def particle(x0, y0, d):
sigma = 0.42*d
C = np.pi/8.*sigma**2
out = (erf((x - x0 + 0.5)/(sigma*np.sqrt(2))) - erf((x - x0 - 0.5)/(sigma*np.sqrt(2))))
out *= (erf((y - y0 + 0.5)/(sigma*np.sqrt(2))) - erf((y - y0 - 0.5)/(sigma*np.sqrt(2))))
return C*out
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