ORGANIC EL ELEMENT
ΔE1 denoting difference between LUMO energy level of hole transport and LUMO energy level of light-emitting layer, μe1 denoting electron mobility of the hole transport layer, and μe2 denoting electron mobility of the light-emitting layer satisfy μ e 1 μ e 2 × exp ( - Δ E 1 × 38.681731 ) ≤ 2.090 × 10 - 2 when μ e 1 < μ e 2 , and satisfy exp ( - Δ E 1 × 38.681731 ) ≤ 2.090 × 10 - 2 when μ e 1 ≥ μ e 2 , ΔE2 denoting difference between LUMO energy level of light-emitting layer and LUMO energy level of electron transport layer, μe2 denoting electron mobility of light-emitting layer, and μe3 denoting electron mobility of electron transport layer satisfy μ e 2 μ e 3 × exp ( - Δ E 2 × 38.681731 ) ≤ 4.367 × 10 - 4 when μ e 2 < μ e 3 , and satisfy exp ( - Δ E 2 × 38.681731 ) ≤ 4.367 × 10 - 4 when μ e 2 ≥ μ e 3 , and ΔH denoting difference between HOMO energy level of light-emitting layer and HOMO energy level of electron transport layer, μh2, and μh3 denoting hole mobility of electron transport layer satisfy μ h 3 μ h 2 × exp ( - Δ H × 38.681731 ) ≤ 2.090 × 10 - 2 when μ h 3 < μ h 2 , and satisfy exp ( - Δ H × 38.681731 ) ≤ 2.090 × 10 - 2 when μ h 3 ≥ μ h 2.
1 . An organic electroluminescence (EL) element comprising:
an anode;
a hole transport layer above the anode, the hole transport layer containing a first organic semiconductor;
a light-emitting layer on the hole transport layer, the light-emitting layer containing a second organic semiconductor;
an electron transport layer on the light-emitting layer, the electron transport layer containing a third organic semiconductor; and
a cathode above the electron transport layer, wherein
the first organic semiconductor, the second organic semiconductor, and the third organic semiconductor each have a highest occupied molecular orbital (HOMO) and a lowest unoccupied molecular orbital (LUMO),
the second organic semiconductor has higher electron mobility than hole mobility,
ΔE1 denoting a difference [eV] between a LUMO energy level of the first organic semiconductor and a LUMO energy level of the second organic semiconductor, μe1 denoting an electron mobility of the first organic semiconductor, and μe2 denoting an electron mobility of the second organic semiconductor
s
atisfy
μ
e
1
μ
e
2
×
exp
(
-
Δ
E
1
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
e
1
<
μ
e
2
,
and
satisfy
exp
(
-
Δ
E
1
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
e
1
<
μ
e
2
,
ΔE2 denoting a difference [eV] between the LUMO energy level of the second organic semiconductor and a LUMO energy level of the third organic semiconductor, μe2, and μe3 denoting an electron mobility of the third organic semiconductor
satisfy
μ
e
2
μ
e
3
×
exp
(
-
Δ
E
2
×
38.681731
)
≤
4.367
×
10
-
4
when
μ
e
2
<
μ
e
3
,
and
satisfy
exp
(
-
Δ
E
2
×
38.681731
)
≤
4.367
×
10
-
4
when μe2≧μe3, and
ΔH denoting a difference [eV] between a HOMO energy level of the second organic semiconductor and a HOMO energy level of the third organic semiconductor, μh2 denoting a hole mobility of the second organic semiconductor, and μh3 denoting a hole mobility of the third organic semiconductor
satisfy
μ
h
3
μ
h
2
×
exp
(
-
Δ
H
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
h
3
<
μ
h
2
,
and
satisfy
exp
(
-
Δ
I
I
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
h
3
≥
μ
h
2.
2 . The organic EL element of claim 1 , wherein
Δ
E
2
,
μ
e
2
,
and
μ
e
3
satisfy
3.984
×
10
-
9
≤
μ
e
2
μ
e
3
×
exp
(
-
Δ
E
2
×
38.681731
)
≤
4.367
×
10
-
4
when
μ
e
2
<
μ
e
3
,
and
satisfy
3.984
×
10
-
9
≤
exp
(
-
Δ
E
2
×
38.681731
)
≤
4.367
×
10
-
4
when
μ
e
2
<
μ
e
3.
3 . The organic EL element of claim 2 , wherein
Δ
E
2
,
μ
e
2
,
and
μ
e
3
satisfy
1.295
×
10
-
7
≤
μ
e
2
μ
e
3
×
exp
(
-
Δ
E
2
×
38.681731
)
≤
3.406
×
10
-
7
when
μ
e
2
<
μ
e
3
,
and
satisfy
1.295
×
10
-
7
≤
exp
(
-
Δ
E
2
×
38.681731
)
≤
3.406
×
10
-
7
when
μ
e
2
<
μ
e
3.
4 . The organic EL element of claim 1 , wherein
Δ
E
1
,
μ
e
1
,
and
μ
e
2
satisfy
4.367
×
10
-
4
≤
μ
e
1
μ
e
2
×
exp
(
-
Δ
E
1
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
e
1
<
μ
e
2
,
and
satisfy
4.367
×
10
-
4
≤
exp
(
-
Δ
E
1
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
e
1
≥
μ
e
2.
5 . The organic EL element of claim 1 , wherein
Δ
H
,
μ
h
2
,
and
μ
h
3
satisfy
4.367
×
10
-
4
≤
μ
h
3
μ
h
2
×
exp
(
-
Δ
H
×
38.681731
)
≤
2.090
×
10
-
2
when
μh
3
<
μ
h
2
,
and
satisfy
4.367
×
10
-
4
≤
exp
(
-
Δ
H
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
h
3
≥
μ
h
2.
6 . An organic electroluminescence (EL) element comprising:
an anode;
a hole transport layer above the anode, the hole transport layer containing a first organic semiconductor;
a light-emitting layer on the hole transport layer, the light-emitting layer containing a second organic semiconductor;
an electron transport layer on the light-emitting layer, the electron transport layer containing a third organic semiconductor; and
a cathode above the electron transport layer, wherein
the first organic semiconductor, the second organic semiconductor, and the third organic semiconductor each have a highest occupied molecular orbital (HOMO) and a lowest unoccupied molecular orbital (LUMO),
the second organic semiconductor has higher hole mobility than electron mobility,
ΔH1 denoting a difference [eV] between a HOMO energy level of the third organic semiconductor and a HOMO energy level of the second organic semiconductor, μh3 denoting a hole mobility of the third organic semiconductor, and μh2 denoting a hole mobility of the second organic semiconductor
satisfy
μ
h
3
μ
h
2
×
exp
(
-
Δ
H
1
×
38.681731
≤
2.090
×
10
-
2
when
μ
h
3
<
μ
h
2
,
and
satisfy
exp
(
Δ
H
1
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
h
3
<
μ
h
2
,
ΔH2 denoting a difference [eV] between the HOMO energy level of the second organic semiconductor and a HOMO energy level of the first organic semiconductor, μh2, and μh1 denoting a hole mobility of the first organic semiconductor
satisfy
μ
h
2
μ
h
1
×
exp
(
-
Δ
H
2
×
38.681731
)
≤
4.367
×
10
-
4
when
μ
h
2
<
μ
h
1
,
and
satisfy
exp
(
-
Δ
H
2
×
38.681731
)
≤
4.367
×
10
-
4
when
μ
h
2
≥
μ
h
1
,
and
ΔE denoting a difference [eV] between a LUMO energy level of the second organic semiconductor and a LUMO energy level of the first organic semiconductor, μe2 denoting an electron mobility of the second organic semiconductor, and μe1 denoting an electron mobility of the first organic semiconductor
satisfy
μ
e
2
μ
e
1
×
exp
(
-
Δ
E
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
e
1
<
μ
e
2
,
and
satisfy
exp
(
-
Δ
E
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
e
1
≥
μ
e
2.
7 . The organic EL element of claim 6 , wherein
Δ
H
2
,
μ
h
2
,
and
μ
h
1
satisfy
3.984
×
10
-
9
≤
μ
h
2
μ
h
1
×
exp
(
-
Δ
H
2
×
38.681731
)
≤
4.367
×
10
-
4
when
μh
2
<
μ
h
1
,
and
satisfy
3.984
×
10
-
9
≤
exp
(
-
Δ
H
2
×
38.681731
)
≤
4.367
×
10
-
4
when
μ
h
2
≥
μ
h
1.
8 . The organic EL element of claim 7 , wherein
Δ
H
2
,
μ
h
2
,
and
μ
h
1
satisfy
1.295
×
10
-
7
≤
μ
h
2
μ
h
1
×
exp
(
-
Δ
H
2
×
38.681731
)
≤
3.406
×
10
-
7
when
μh
2
<
μ
h
1
,
and
satisfy
1.295
×
10
-
7
≤
exp
(
-
Δ
H
2
×
38.681731
)
≤
3.406
×
10
-
7
when
μ
h
2
≥
μ
h
1.
9 . The organic EL element of claim 6 , wherein
Δ
H
1
,
μ
h
3
,
and
μ
h
2
satisfy
4.367
×
10
-
4
≤
μ
h
3
μ
h
2
×
exp
(
-
Δ
H
1
×
38.681731
)
≤
2.090
×
10
-
2
when
μh
3
<
μ
h
2
,
and
satisfy
4.367
×
10
-
4
≤
exp
(
-
Δ
H
1
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
h
3
≥
μ
h
2.
10 . The organic EL element of claim 6 , wherein
Δ
E
,
μ
e
1
,
and
μ
e
2
satisfy
4.367
×
10
-
4
≤
μ
e
1
μ
e
2
×
exp
(
-
Δ
E
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
e
1
<
μ
e
2
,
and
satisfy
4.367
×
10
-
4
≤
exp
(
-
Δ
E
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
e
1
≥
μ
e
2.
11 . An organic electroluminescence (EL) element comprising:
an anode;
a hole transport layer above the anode, the hole transport layer containing a first organic semiconductor;
a light-emitting layer on the hole transport layer, the light-emitting layer containing a second organic semiconductor;
an electron transport layer on the light-emitting layer, the electron transport layer containing a third organic semiconductor; and
a cathode above the electron transport layer, wherein
the first organic semiconductor, the second organic semiconductor, and the third organic semiconductor each have a highest occupied molecular orbital (HOMO) and a lowest unoccupied molecular orbital (LUMO),
electron mobility and hole mobility of the second organic semiconductor are similar,
ΔE denoting a difference [eV] between a LUMO energy level of the first organic semiconductor and a LUMO energy level of the second organic semiconductor, μe1 denoting an electron mobility of the first organic semiconductor, and μe2 denoting an electron mobility of the second organic semiconductor
satisfy
μ
e
1
μ
e
2
×
exp
(
-
Δ
E
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
e
1
<
μ
e
2
,
and
satisfy
exp
(
-
Δ
E
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
e
1
≥
μ
e
2
,
and
ΔH denoting a difference [eV] between a HOMO energy level of the second organic semiconductor and a HOMO energy level of the third organic semiconductor, μh2 denoting a hole mobility of the second organic semiconductor, and μh3 denoting a hole mobility of the third organic semiconductor
satisfy
μ
h
3
μ
h
2
×
exp
(
-
Δ
H
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
h
3
<
μ
h
2
,
and
satisfy
exp
(
-
Δ
H
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
h
3
≥
μ
h
2.
12 . The organic EL element of claim 11 , wherein
Δ
E
,
μ
e
1
,
and
μ
e
2
satisfy
4.367
×
10
-
4
≤
μ
e
1
μ
e
2
×
exp
(
-
Δ
E
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
e
1
<
μ
e
2
,
and
satisfy
4.367
×
10
-
4
≤
exp
(
-
Δ
E
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
e
1
≥
μ
e
2.
13 . The organic EL element of claim 11 , wherein
Δ
H
,
μ
h
3
,
and
μ
h
2
satisfy
4.367
×
10
-
4
≤
μ
h
3
μ
h
2
×
exp
(
-
Δ
H
×
38.681731
)
≤
2.090
×
10
-
2
when
μh
3
<
μ
h
2
,
and
satisfy
4.367
×
10
-
4
≤
exp
(
-
Δ
H
×
38.681731
)
≤
2.090
×
10
-
2
when
μ
h
3
≥
μ
h
2.