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SOLVED:A triclinic crystal is described, using an oblique coordinate system. The three covariant base vectors are ε1=1.5 𝐱̂, ε2=0.4 𝐱̂ 1.6 𝐲̂, and ε3=0.2 x̂ 0.3 ŷ 1.0 ẑ (a) Calculate the elements of the covariant metric tensor gi j. (b) Calculate the Christoffel three-index symbols, Γi j^k. (This is a "by inspection" calculation.) (c) From the cross-product form of Exercise 2.10.3 calculate the contravariant base vector ε^3. (d) Using the explicit forms ε^3 and εi, verify that ε^3 ·εi
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