Capacitor array

A capacitor array, comprising

• a plurality of capacitor units arranged in a plane direction,
• wherein each of the capacitor units includes a capacitor element, a first through-conductor, and a second through-conductor,
• the capacitor element includes a first electrode layer and a second electrode layer, and a dielectric layer,
• the first electrode layer and the second electrode layer face each other with the dielectric layer in between in a thickness direction perpendicular to the plane direction,
• the first through-conductor is on at least an inner wall surface of a first through-hole that penetrates the capacitor element in the thickness direction and is electrically connected to the first electrode layer,
• the second through-conductor is on at least an inner wall surface of a second through-hole that penetrates the capacitor element in the thickness direction and is electrically connected to the second electrode layer,
• an area of the capacitor unit, a diameter of the first through-hole, an area of the first through-conductor in the first through-hole, a diameter of the second through-hole, an area of the second through-conductor in the second through-hole, and an inter-center distance between the first through-conductor and the second through-conductor are equivalent between the capacitor units in a plan view of the capacitor array in the thickness direction, and
• when the area of the first through-conductor in the first through-hole is denoted by STH1 and the area of the second through-conductor in the second through-hole is denoted by STH2 in the capacitor unit, and a total number of the capacitor units included in the capacitor array is denoted by N, in a case where a correlation of an electrostatic capacity Cunit per unit with respect to an inter-center distance p between the first through-conductor and the second through-conductor is obtained from virtual units satisfying all of Conditions 1 to 4:
• Condition 1:
• a total number of the virtual units included in the capacitor array is denoted by n,
• Condition 2:
• an area of a virtual unit, a diameter of a first through-hole, an area of a first through-conductor in the first through-hole, a diameter of a second through-hole, an area of a second through-conductor in the second through-hole, and an inter-center distance between the first through-conductor and the second through-conductor are equivalent between the virtual units in the plan view of the capacitor array in the thickness direction,
• Condition 3:
• the area of the first through-conductor in the first through-hole is denoted by Sth1 and the area of the second through-conductor in the second through-hole is denoted by Sth2 in the virtual unit, and
• Condition 4:
• a value of (Sth1+Sth2)×n is equal to a value of (STH1+STH2)×N, and
• an actual overall capacitance corresponding to an electrostatic capacity for a total area of the capacitor units in an electrostatic capacity of an entirety of the capacitor array is larger than a virtual overall capacitance obtained by multiplying the total number n of the virtual units corresponding to the inter-center distance p when the electrostatic capacity Cunit per unit reaches a maximum value by the maximum value of the electrostatic capacity Cunit per unit.