Increasing complexity in VLSI circuits makes metal interconnection a signif
icant factor affecting circuit performance. In this paper, we first develop
new closed-form capacitance formulas for two major structures in very larg
e scale integration (VLSI), namely, 1) parallel lines on a plane and 2) wir
es between two planes, by considering the electrical flux to adjacent wires
and to ground separately. We then further derive closed-form solutions for
the delay and crosstalk noise. The capacitance models agree well with nume
rical solutions of three-dimensional (3-D) Poisson's equation as well as me
asurement data. The delay and crosstalk models agree well with SPICE simula
tions.