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Letμ   M  ,  D{\mu_{M,D}}    be a self-affine measure associated with an expanding real matrixM  =   diag  ⁡   [   ρ  1   ,   ρ  2   ,   ρ  3   ]{M=\operatorname{diag}[\rho_{1},\rho_{2},\rho_{3}]}    and the digit setD  =   {  0  ,   e  1   ,   e  2   ,   e  3   }{D=\{0,e_{1},e_{2},e_{3}\}}    in the spaceℝ  3{\mathbb{R}^{3}}   , where|   ρ  1   |   ,   |   ρ  2   |   ,   |   ρ  3   |    ∈   (  1  ,  ∞  ){\lvert\rho_{1}\rvert,\lvert\rho_{2}\rvert,\lvert\rho_{3}\rvert\in(1,\infty)}    ande  1   ,   e  2   ,   e  3{e_{1},e_{2},e_{3}}    is the standard basis of unit column vectors inℝ  3{\mathbb{R}^{3}}   . In this paper, we mainly consider the case

The exact number of orthogonal exponentials on the spatial Sierpinski gasket