Note: All exchange functionals in this section can be invoked using the $rem variable EXCHANGE. Popular and/or recommended functionals within each class are listed first and indicated in bold. The rest are in alphabetical order.
Local Spin-Density Approximation (LSDA)
Slater: Slater-Dirac exchange functional (X$\alpha $ method with $\alpha =2/3$)^{225}
SR_LSDA (BNL): Short-range version of the Slater-Dirac exchange functional^{296}
Generalized Gradient Approximation (GGA)
PBE: Perdew, Burke, and Ernzerhof exchange functional^{701}
B88: Becke exchange functional from 1988^{67}
revPBE: Zhang and Yang one-parameter modification of the PBE exchange functional^{1042}
AK13: Armiento-Kümmel exchange functional from 2013^{39}
B86: Becke exchange functional (X$\alpha \beta \gamma $) from 1986^{64}
G96: Gill exchange functional from 1996^{304}
mB86: Becke “modified gradient correction” exchange functional from 1986^{65}
mPW91: modified version (Adamo and Barone) of the 1991 Perdew-Wang exchange functional^{20}
muB88 ($\mu $B88): Short-range version of the B88 exchange functional by Hirao and coworkers^{405}
muPBE ($\mu $PBE): Short-range version of the PBE exchange functional by Hirao and coworkers^{405}
srPBE: Short-range version of the PBE exchange functional by Goll and coworkers^{316, 315}
optB88: Refit version of the original B88 exchange functional (for use with vdW-DF-04) by Michaelides and coworkers^{477}
OPTX: Two-parameter exchange functional by Handy and Cohen^{338}
PBEsol: PBE exchange functional modified for solids^{705}
PW86: Perdew-Wang exchange functional from 1986^{709}
PW91: Perdew-Wang exchange functional from 1991^{702}
RPBE: Hammer, Hansen, and Norskov exchange functional (modification of PBE)^{335}
rPW86: Revised version (Murray et al.) of the 1986 Perdew-Wang exchange functional^{652}
SOGGA: Second-order GGA functional by Zhao and Truhlar^{1050}
wPBE ($\omega $PBE): Henderson et al. model for the PBE GGA short-range exchange hole^{364}
Meta-Generalized Gradient Approximation (meta-GGA)
TPSS: Tao, Perdew, Staroverov, and Scuseria exchange functional^{903}
revTPSS: Revised version of the TPSS exchange functional^{704}
BLOC: Minor modification of the TPSS exchange functional that works best with TPSSloc correlation (both by Della Sala and coworkers)^{185}
modTPSS: One-parameter version of the TPSS exchange functional^{706}
oTPSS: TPSS exchange functional with 5 refit parameters (for use with oTPSS correlation) by Grimme and coworkers^{311}
PBE-GX: First exchange functional based on a finite uniform electron gas (rather than an infinite UEG) by Pierre-François Loos^{590}
PKZB: Perdew, Kurth, Zupan, and Blaha exchange functional^{703}
regTPSS: Regularized (fixed order of limits issue) version of the TPSS exchange functional^{798}
SCAN: Strongly Constrained and Appropriately Normed exchange functional^{891}
TM: Tao-Mo exchange functional derived via an accurate modeling of the conventional exchange hole^{902}