Recent content by Tom Weaver

Great thank you! Your help is greatly appreciated!

Rρλμν = - Γρλμ,ν + Γρλν,μ - ΓσλμΓρσν + ΓρλνΓρσμ R0110 = - Γ011,0 + Γ010,μ1 - Γσ11Γ0σ0 + Γσ10Γ0σ1 R0110 = - (Γ011Γ000 + Γ111Γ010 + Γ211Γ020 + Γ311Γ030) + (Γ010Γ001 +Γ110Γ011 + Γ210Γ021 + Γ310Γ031) R0110 = - (0 + 0.5v'*0.5μ' + 0 + 0) + ((0.5v')2 + 0 + 0 + 0) R0110 = (0.5v')2 - 0.25 ν' μ' I'm...

Brilliant thank you! Am I right at least in using the Ricci tensor? If so, what's the significance of ρ?

Given the metric of the gravitational field of a central gravitational body: ds2 = -ev(r)dt2 + eμ(r)dr2 + r2 (dθ2 + sin2θdΦ2) And the Chritofell connection components: Find the Riemannian curvature tensor component R0110 (which is non-zero). I believe the answer uses the Ricci tensor...

Consider a two-dimensional ionic crystal with a primitive hexagonal lattice. The energy needed to create a Frenkel defect pair is 10eV, and Schottky defect formation costs 8eV. Calculate the concentration of vacancies and interstitials in the crystal at 300 K, assuming that all defects are...