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Supporting Information Introduction Table S1. The summary of in-plane thermally conductive paper-like composites. Sample Fabrication method Thermal Conductiv ity (W m -1 K -1 ) Measurement method Year [Ref] Nanofibrillated cellulose(NFC)/BN Vacuum filtration 145.7 (50 wt%) Steady-state method 2014[1 ] NFC/RGO LBL assembly 12.6(--) Laser flash technique 2017[2 ] PVA/BN@PDA Vacuum filtration 5.4 (10 vol% ) Laser flash technique 2015[3 ] PET/RGO Graphene ink coating method 90 (--) Optothermal raman technique 2014 [4] CNF /BN nanotube Vacuum filtration 21.39(25 wt%) Laser flash technique 2017[5 ] Cellulose/ RGO Vacuum filtration 9(6 %) Laser flash technique 2017[6 ] Poly (vinylidene fluoride-co- hexafluoropropylene) / RGO Solvent casting 19.5(27.2 wt%) Laser flash technique 2016 [7] Polyimides (PI)/BN Spin casting 17.5, 5.4(60 vol%) Temperature wave analysis (TWA) method, Laser flash technique 2013 [8] SiC nanowire/cellulose Vacuum 34(50 vol Laser flash 2016

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Supporting Information

Introduction

Table S1. The summary of in-plane thermally conductive paper-like composites.

Sample

Fabrication method

Thermal

Conductivity

(W m-1 K-1)

Measurement method

Year [Ref]

Nanofibrillated cellulose(NFC)/BN

Vacuum filtration

145.7 (50 wt%)

Steady-state method

2014[1]

NFC/RGO

LBL assembly

12.6(--)

Laser flash technique

2017[2]

PVA/BN@PDA

Vacuum filtration

5.4 (10 vol% )

Laser flash technique

2015[3]

PET/RGO

Graphene ink coating method

90 (--)

Optothermal raman technique

2014 [4]

CNF /BN nanotube

Vacuum filtration

21.39(25 wt%)

Laser flash technique

2017[5]

Cellulose/ RGO

Vacuum filtration

9(6 %)

Laser flash technique

2017[6]

Poly (vinylidene fluoride-co-hexafluoropropylene) / RGO

Solvent casting

19.5(27.2 wt%)

Laser flash technique

2016 [7]

Polyimides (PI)/BN

Spin casting

17.5, 5.4(60 vol%)

Temperature wave analysis (TWA) method, Laser flash technique

2013 [8]

SiC nanowire/cellulose microcrystal

Vacuum filtration

34(50 vol%)

Laser flash technique

2016 [9]

PDDA/BN nanosheets

Vacuum filtration

212.8(90 wt%)

Steady-state method

2017 [10]

RGO paper

Solvent casting

61

Laser flash technique

2015 [11]

RGO paper

Solvent casting

1100

Laser flash technique

2014 [12]

RGO paper

Vacuum filtration

1043.5

Laser flash technique

2014[13]

RGO paper

Electro-spray deposition

1238.3

Self-heating method

2014 [14]

Graphitic paper

Polyimide graphitization

1750

Laser flash technique

2014 [12]

RGO paper

Vacuum filtration

1529

Self-heating method

2017 [15]

RGO paper

Vacuum filtration

1940

Laser flash technique

2017 [16]

RGO paper

Vacuum filtration

1390

Laser flash technique

2015 [17]

RGO/carbon fiber paper

Vacuum filtration

977

Laser flash technique

2014 [18]

Fig. S1. Schematic representation of the preparation process of NR/BN and NR/GNPs composites.

Experimental section

Materials. Graphene nanoplatelets (cz-030, Xiamen Knano Graphene Technology, Co., Ltd, China) with the particle size of 20-30 um and the density of 2.25 g/cm3, BN flakes (Qinghuangdao Yinuo Advanced Material Co., Ltd, China) with the particle size of 10-15 um and the density of 2.25 g/cm3 and NR lateral (Yiwu Taiyou Hu Trade Co., Ltd., China) with the solid content of 61.79 % were used. Polyvinyl Alcohol (PVA1788) as dispersant was purchased from Chengdu Kelong Chemical reagent Co., Ltd. The curing agents including sulfur, zinc diethyl dithiocarbamate (ZDC), Zink oxide (ZnO) were commercially available industrial products. Commercial natural graphite paper (NG paper) with the thickness of 100 um and of 288 W m-1 K-1 was purchased from Beijing Jinglong Tetan Co Ltd. Cu foil with the thickness of 76 um and of 380 W m-1 K-1 was purchased from Shanghai Huhong Metal Material Co Ltd. The materials were used as received without any purification and chemical treatment. The SEM images of fillers and optical images of the comparison samples were shown in the supporting information Fig. S2.

Preparation of NR/BN and NR/GNPs composites

NR/GNPs and NR/BN composites were fabricated by simple vacuum filtration method. As shown in the supporting information Fig. S1, a certain amount of BN or GNPs and PVA (BN or GNPs: PVA=100: 5, w/w) were mixed in the deionized water via ultrasonic bath treatment for 30 min, followed by adding the NR latex. Then, a certain amount of curing agents including sulfur (2 phr), ZDC (1 phr) and ZnO (0.5 phr) was mixed into the suspension. The suspension was stirred for 12 h at room temperature. To form composite films, the mixture was vacuum filtrated with filter membrane (220 nm) and then allowed for water evaporation at room temperature for 12 h. Lastly, the resulted films was heat compressed for 6 h at 60 °C and 10 MPa. Mechanical compression improved the contact of the thermally conductive fillers and chased away the air bubbles. The composites were designated according to the volume content of thermally conductive fillers.

Characterization. The as-obtained composite films were characterized by scanning electron microscope (SEM, JOEL JSM-5900LV, Japan), X-ray diffraction (XRD, Cu Kα radiation, Rigaku, Ultima IV, Japan), insulation resistance tester (U2683, Eucol Electronic Technology Co., Ltd, China) and universal material testing machine (Instron 5967, USA). The k of the composites was tested at 25 °C with the laser flash technique (Netzsch, Pyroceram 9606 as reference sample, LFA 467, USA). The k was calculated by , where λ, α, ρ and Cp represent the k, thermal diffusivity, density and specific heat capacity of the composites, respectively. The EMI shielding performance of the composites in the X-band (8.2-12.4 GHz) was characterized by a vector network analyzer (Agilent N5230, USA). The hardness and modulus of the composite films were tested by a nano-indentation tester (Keysight G200, USA) equipped with Berkovich indenter. Tensile properties of the composites were tested at 25° C by a universal material testing machine (Instron 5967, USA) with a cross-heat speed of 0.4 mm/min.

Results and Discussions

Fig. S2. SEM images of (a) pure NR, (b) pure GNPs and (c) BN, optical images of (d) commercial NG paper and (e) copper foil.

The orientation of fillers with hexagonal crystal system such as BN can be characterized by XRD, due to that the diffraction patterns obtained from the top and side planes of hexagonal crystal are different. We found that the orientation of GNPs in polymer matrix can also been characterized by XRD patterns as shown in the Fig. S3. The XRD pattern obtained from cross section and surface of 27.48GNPs composites are quite different. The XRD pattern obtained from surface show sharp (002) and (004) diffraction peaks, while the XRD pattern obtained from cross section show sharp (002), (100), (101), (110) and (112) diffraction peaks.

Fig. S3. XRD patterns of pure GNPs filler and 27.48GNPs composites.

Fig. S4. (a) Thermal conductivity of 27.48GNPs and 55.85BN composites as function of temperature, (b) thermal diffusivity and specific heat of 27.48GNPs and 55.85BN composites as function of temperature.

Fig. S4a shows the and of 27.48GNPs and 55.85BN composites as function of temperature. The thermal conductivity of 55.85BN decreased slightly with increasing temperature, consistent with the anhar-monic phonon–phonon scattering that is dominant in highly crystalline materials (the content of BN is 55.85 vol%).[16] However, the thermal conductivity of 27.48GNPs increases for a certain degree with increasing temperature. In non-crystalline materials the change of thermal conductivity is also dependent on the change of specific heat. One can see that the specific heat of 27.48GNPs rapidly increases with increasing temperature.

Fig. S5. Volume resistivity of NR/BN composites with different content of BN.

As presented in Fig. S5, the volume resistivity obtained from NR/BN composites was in the range of 3.081014-3.631015, which is far beyond the electrical insulation range (), which guarantees the application of such TIMs in some special electrical device fields.

Table. S2 Comparison of EMI shielding effectiveness of composites in the X-band frequency range.

Sample

Density(g cm-3)

Thickness(mm)

SE(dB)

SSE(dB cm2 g-1)

[Ref]

Cellulose/CNTs

1.35

0.15

35

~1372.4

[19]

PEEK/GPPS/MWCNT

1.34

0.18

10.5

~435.3

[20]

PLLA/MWCNT

>1.25

1.5

30

<160

[21]

Epoxy/CNTs

>1.2

2

33

<137.5

[22]

PS/ RGO

>1.04

2.5

45.1

<173.5

[23]

PEDOT:PSS/Graphene

0.96

0.8

70

~911.5

[24]

Graphene/Fe3O4 film

0.78

0.3

24

~1025.6

[25]

Copper film

8.9

0.013

115

~9939.9

[26]

RGO film

1.63

0.0084

20

~14607.1

[12]

RGO film

1.63

0.031

130

~25727.3

[26]

NR/GNPs

1.14

0.071

33.96

~4195.7

This work

Comparison of EMI shielding effectiveness of composites in the X-band frequency range was made in Table S2. Clearly, our NR/GNPs composites show the highest value of SSE in the polymer composites. Noted that RGO film possess the highest value of SSE in all the composites (25727.3 dB cm2 g-1).[26]

Fig. S6. The temperature difference ∆ at 240 s which was be used to calculate the contact thermal resistance.

Fig. S7. Schematic illustration of contact thermal resistance of TIMs application.

Fig. S7 presented the schematic illustration of contact thermal resistance of TIMs application. Contact resistance is composed of two parallel contact resistances: (1) conduction resistance at the contact points and (2) conduction resistance across the air gap of non-contacting area.

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