Room Cavity Ratio (RCR) for CU Lookup
The room cavity ratio needed to read a luminaire's coefficient of utilization.
Example
You enter
- Room length (ft) 40
- Room width (ft) 30
- Cavity height: luminaire to work plane (ft) 8
You get
- Room cavity ratio (RCR) 2.33
Details, formula, and sources
The shape number a lighting designer needs to read the coefficient of utilization (CU) off a luminaire's photometric report before the lumen method: RCR = 5 x cavity height x (length + width) / (length x width), where the cavity height is from the luminaire plane down to the WORK plane (~2.5 ft above floor), NOT floor-to-ceiling. A 40 x 30 ft room with an 8 ft luminaire-to-workplane cavity has RCR 2.33. A tall, narrow room (big cavity vs floor area) has a HIGH RCR -- more light hits the walls, less reaches the work plane, so a lower CU; a low, wide room has a low RCR and higher CU. Enter this RCR with the ceiling/wall/floor reflectances into the manufacturer's CU table, then that CU feeds the lumen-method fixture count. A design input; the fixture's IES photometric file and the actual surface reflectances govern the CU.
room_cavity_ratio = 5 x cavity_height_ft x (room_length_ft + room_width_ft) / (room_length_ft x room_width_ft). Cavity height = luminaire plane to the work plane.
IES zonal-cavity method room cavity ratio (IES Lighting Handbook), by name; the fixture's photometric (IES) file and the actual surface reflectances govern the coefficient of utilization it reads.
The RCR relation is the public IES zonal-cavity formula; the room dimensions and cavity height are the design geometry, and the CU it feeds is on the manufacturer's photometric report.
Estimate. AHJ and licensed professional govern.
Field names used by the API: room_length_ft, room_width_ft, cavity_height_ft, room_cavity_ratio
- IES zonal-cavity RCR RCR = 5 x cavity height x (L + W)/(L x W); cavity height = luminaire plane to the work plane (~2.5 ft above floor), not floor-to-ceilingIES Lighting Handbook
- Feeds the CU / lumen method high RCR (tall/narrow) -> lower CU; enter RCR with the surface reflectances into the fixture CU table; that CU feeds lumen-methodmanufacturer photometric report