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Characterization of new natural cellulosic fibers from Cyperus compactus Retz. (Cyperaceae) Plant

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The characteristic features of new lignocellulosic fibers are explored and found in this work. Characterization of Cyperus compactus Retz. plant (CCP) fiber was done using different analytical tools viz. FTIR, TGA, XRD, SRA, and SEM. The extracted fiber from Cyperus compactus stems has greater cellulose content (67.9%), and better tensile strength (943±51.2MPa) and the fiber shows stability in high temperatures up to 227°C. XRD technique and FTIR analysis ensured the semicrystalline nature of CCP fiber. SEM was exercised to ascertain the surface characteristics of CCP fibers. It was evident that the stem fibers of Cyperus compactus Retz. have a wide variety of industrial uses as crude materials.
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Carbohydrate Polymer Technologies and Applications 5 (2023) 100286
Available online 13 January 2023
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Characterization of new natural cellulosic bers from Cyperus compactus
Retz. (Cyperaceae) Plant
Anup Kumar Bhunia
a
, Dheeman Mondal
a
, Kriti Ranjan Sahu
b
, Amal Kumar Mondal
a
,
*
a
Plant Taxonomy, Biosystematics, and Molecular Taxonomy Laboratory, UGC-DRS-SAP-II and DBT-BOOST-WB supported Department, Department of Botany and
Forestry, Vidyasagar University, Midnapore, West Bengal 721102, India
b
Department of Physics, Bhatter College, Dantan, Paschim Medinipur, West Bengal 721426, India
ARTICLE INFO
Keywords:
Lignocellulosic bers
Tensile strength
Crystalline index
Surface topography
X-ray diffraction analysis
Thermo-gravimetric analysis
ABSTRACT
The characteristic features of new lignocellulosic bers has been explored and found in this work. Character-
ization of Cyperus compactus Retz. plant (CCP) ber is done using different analytical tools viz. FTIR, TGA, XRD,
SRA, and SEM. The extracted ber from Cyperus compactus stem has greater cellulose content (67.9%), better
tensile strength (943±51.2 MPa) and the ber has shown stability in higher temperature up to 227C. XRD
technique and FTIR analysis ensured the semicrystalline nature of CCP ber. SEM was exercised to ascertain the
surface characteristics of CCP bers. It is evident that the stem bers of Cyperus compactus Retz. have a wide
variety of industrial uses as crude materials.
1. Introduction
Most industries today are concerned with making environment-
friendly products. These are nontoxic to living beings that are subse-
quently benecial and sustainable for our environment. Now, many
industries use natural bers as a substitute for synthetic ber due to
huge natural resources, ease of extraction, rm environmental regula-
tions, and environment-friendly product production (Reddy et al., 2014;
Uma Maheswari et al., 2008; Kommula et al., 2013).
Because of its inexpensive manufacturing cost, men exercised syn-
thetic bers and high durability than natural bers products through the
products that are made of synthetic ber are not easily biodegradable
and cause serious environmental pollution. Thus, scientists are now
trying frequently to nd out natural ber resources from different
sources and their utilization (Mayandi et al., 2015).
In composite industries, natural bers have great interest. Nowadays
theres a pressing want for looking at herbal bers from new resources. It
is most praiseworthy that a signicant number of researchers have
executed their work to deduce and use various natural resource-based
bers like sisal, coir, pineapple, jute, hemp, palm, Borassus, banana,
and tamarind for the reinforcement of polymer-matrix composites
(Belaadi et al., 2014; Thakur & Singha, 2011; Tamanna et al., 2021).
Cyperus pangorei plant has been studied for its mechanical, physical,
thermal, and chemical features by Mayandi et al. (2016).
Accordingly, an attempt has been made to characterize a new ber
from the Cyperus compactus plant from the family Cyperaceae. In some
village or in remote areas of Jalgalmahal these plants are grow randomly
in the agricultural eld and the Cyperus pangorei ber is widely used for
weaving mats, masland mat and other home utility product. As a sub-
stitute this ber can be used for those purposes (Show, 2018).
Cyperus perhaps belongs to the largest genera in Cyperaceae. It is
universal in distribution with 650700 species scattered over the earth
(Tejavathi & Nijalingappa, 1990; Simpson et al., 2003). Nearly about
eighty Cyperus species are growing in India. Being agricultural weeds, it
has economic importance in diversied areas like food, fuel, medicine,
etc. (Simpson et al., 2003). Today sedge plants are exercised for several
different purposes like mat weaving, fencing, rope making, thatching,
etc. Introducing high-quality natural bers is the major objective of this
research endeavor. Chemical analysis, tensile properties, optical mi-
croscopy, FTIR, XRD, TGA, Surface roughness, and SEM studies were
exercised to characterize the extracted bers.
2. Materials and methods
2.1. Field observation and raw material collection
Matured plants Cyperus compactus had been collected from different
study areas of Paschim Medinipur district, West Bengal, India. Location-
specic geo-coordinates were E 872251.8628′′, N 2224.4823
* Corresponding author.
E-mail addresses: akmondal@mail.vidyasagar.ac.in, mondalak.bot@gmail.com (A.K. Mondal).
Contents lists available at ScienceDirect
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carbohydrate-polymer-technologies-and-applications
https://doi.org/10.1016/j.carpta.2023.100286
Carbohydrate Polymer Technologies and Applications 5 (2023) 100286
2
presented in Fig. 1. Field photographs of plant and ber extraction
processing steps were captured by a digital single-lens reex camera
Nikon D7000 (Nikon, Japan).
2.2. Fiber extraction
Firstly, the plants stem portion was used to extract the bers. Then,
the stem was cut from the plant body and submerged in water for thirty-
ve days. The ber from the moist stem after the retting process had
been extracted. Extracted ber had been washed properly using double-
distilled water. After that these extracted bers were placed under
sunlight for seven days to get the ambient condition. After the whole
process, the extracted bers were used for their characterization (Sar-
avanakumar et al., 2013). The plant habitat image and different steps of
the CCP ber extraction process had been presented in Fig. 2.
2.3. Physical characterization
The CCP ber was placed under standard conditions room temper-
ature i.e., 27C temperature and 6570% relative humidity for 24 hrs.
Fiber bundles were randomly crushed in a mortar and pestle and taken
into a slide for optical microscopy. The samples were observed with
Axio-Vision (Carl ZEISS, German) phase-contrast microscope. Physical
characteristics data like slenderness ratio, Runkel ratio, and exibility
coefcient were calculated using the optical data i.e., ber length, cell
wall thickness, ber diameter, and lumen diameter derived by optical
microscopy.
Slenderness ratio (SR) = Fiber length (
μ
m)
Fiber Diameter(
μ
m)
List of Abbreviations
CCP Cyperus compactus plant
SR Slenderness ratio
RR Runkel ratio
CI Crystalline Index
CS Crystallite Size
EDX Energy-Dispersive X-ray spectroscopy
FTIR Fourier Transform Infrared Spectroscopy
TGA Thermo-gravimetric Analysis
DTG Derivative thermos-gravimetry
XRD X-Ray Diffraction
GPa Giga Pascal
MPa Mega Pascal
BSI Botanical Survey of India
µm Micrometer
mA Milliampere
KBr Potassium Bromide
SRA Surface Roughness Analysis
Fig. 1. Geographic information system mapping of the collected sample.
A.K. Bhunia et al.
Carbohydrate Polymer Technologies and Applications 5 (2023) 100286
3
Flexibility coefficiuent =Fiber lumen diameter(
μ
m)
Fiber diameter(
μ
m)×100
Runkel Ration (RR) = Cell Wall Thickness(
μ
m)
Fiber lumen diameter(
μ
m)×2
2.4. Chemical estimation of the selected ber
For chemical estimation, fresh sample of 1 gm were used for each
experiment. The processed and extracted bers were exercised to
ascertain the chemical constituents i.e., cellulose had been quantied by
the procedure of Doree (1950). According to the procedure of Goering
and Vansoest (1975) estimation of hemicellulose had been done. The
extracted CCP ber had been exercised to quantify the percentage
amount of lignin by the procedure of Goering and Vansoest (1975);
Sadasivam and Manickam (2021).
2.5. Fourier-transformed infrared-spectrometry (FTIR)
The functional group of the selected ber and their unique chemical
bonds were identied by FTIR. FTIR spectral study of selected bers had
been accomplished with the aid of a Nicolet Avatar Model 360 spec-
trometer (Thermo Fisher, United States) by KBr pellet methods in the
wavenumber region 5004000cm
1
with a scan rate of 32 scans/minute
at a resolution of 2cm
1
. The resultant peaks had been recorded.
2.6. X-ray diffraction (XRD)
XRD method had been exercised to know about the crystallinity of
CCP ber. XRD had been performed to obtain the Crystalline Index (CI)
and Crystal size of the selected ber. This experiment had been per-
formed with the assistance of an XPERT-3 diffractometer (Bruker-ASX,
Germany) tted with a CuK
α
radiation source at a current of 30 mA,
with an application of 45 kV tension. The CCP ber was examined at a
constant temperature of 25C in the 2θ range between 10to 80with
the step size of 0.05. XRD data has been calculated using two methods
analysing the XRD spectrum:
Individual crystalline and amorphous peak were extracted by curve
tting process from the diffraction intensity prole. A peak tting pro-
gram (Origin Software, 2021) was used, assuming Gaussian function for
each peak in all cases F number was >1000, which corresponds to a R
2
value>0.9792.
The CI was determined with the aid of the below -mentioned for-
mula. Shukla et al. (2003), Rabek (1980)
Crystallinity index =IC
(IC+Ia)×100
Where I
c
is the intensity of crystalline component and I
a
is the intensity
of amorphous component.
The Crystal Size (C.S.) of the CCP ber had been calculated with the
aid of Scherrers formula given Equation (Smilgies, 2009), by the
wavelength of the incident X-Ray radiation (λ =0.1542 nm), Scherrers
correction factor (k =0.94), peaks full width half maximum (β) and
Bragg angle (θ).
Crystal Size =
βcosθ
2.7. Tensile properties
Tensile behavior had been determined using a Tinius Olsen (H50KS)
Fig. 2. Habitat picture along with differential steps of ber extraction (A) Cyperus compactus plant, (B) Cyperus compactus plant stem immersed in pond water after
72 h, (C) Fiber extraction from wet stem after ~ 35 days, and (D) Extracted CCP bers.
A.K. Bhunia et al.
Carbohydrate Polymer Technologies and Applications 5 (2023) 100286
4
Universal Machine at 0.5 mm/minute crosshead speed while maintain-
ing the xed gage length of 50 mm. All experiments were conducted at
an ambient temperature of 20C with a relative humidity of 65%. A
minimum number of 10 samples were taken for tensile testing to conrm
the repeatability of the results. Tensile strength, youngs modulus had
been calculated using these formulas-
Tensile strength =Breaking Load(N)
Cross Section Area(mm2)
Youngs modulus =Stress
Strain
2.8. Thermogravimetric study
The thermogravimetric analyzer (Model Pyris Diamond TG/DTA)
was employed to explore the constancy of the selected bers in thermal
conditions. The thermograms had been noted on a Perkin-Elmer TGA
analyzer at the constant heating rate of 10C/min in a nitrogen (N
2
)
atmosphere. The ber sample was studied in low to high-temperature
ranges from 50C to 600C that had been employed for the experi-
ment The kinetic energy (E
a
) of the CCP ber had been determined using
Broidos equation. Activation-Energy (AE) confers to the minimal
quantity of energy required to degrade the ber. Broidos equation was
as follows-
ln[ln(1
y)]=(E
R)[(1
T)+K]
Where y denotes normalized weight (W
t
/W
0
), W
t
denotes the weight of
the ber sample at any time t, W
0
was the initial weight of the ber
sample, T indicates the temperature in kelvin, and R was the universal
gas constant (8.32 kJ/mol-k).
2.9. Surface roughness measurement
A 3D non-contact proler (Bruker Nano GmbH, Germany) had been
exercised to ascertain the surface property of selected bers. At least ve
numbers of CCP ber had been taken into account to get the average
result. The outcomes were recorded and average values were reported. A
minimum length i.e., 50 mm was taken for measurement. The mea-
surement was continued along the length of CCP ber.
2.10. Scanning electron microscope (SEM) analysis
SEM (ZEISS Supra-40) was used for examining the topography of the
CCP ber surface and cross-sectional views of the CCP ber sample also.
SEM was used for studying the ber matrix adhesion. The SEM studies
were done by scanning the ber sample with a high-energy electron
beam at an accelerating voltage of 5 kV in a secondary electron imaging
mode. Then the CCP sample surface was noted in different magnica-
tions range of 500X-2.5KX and the resulting image (Smart SEM Soft-
ware) was taken.
3. Result and discussion
3.1. Morphological study
From the CCP ber bundle, it was very much difcult, in getting the
appropriate ber length of CCP ber. The ber length of CCP ber varies
from 309.22
μ
m to 398.12
μ
m and the calculated mean length of a single
ber is 379.11
μ
m (Fig. 3). The ber diameter ranges from 17.44
μ
m to
19.91
μ
m and the means diameter value of CCP ber is 19.31
μ
m.
Lumen-diameter and cell-wall thickness of CCP ber have been recorded
i.e., 12.60
μ
m and 3.53
μ
m respectively. The Slenderness Ratio (SR) of
the CCP ber was 19.63, Runkel ratio and Flexibility-coefcient (FC)
have been recorded i.e., 65.25 and 0.56 respectively. The diameter and
ber length were more or less similar to CPFs, jute, ax, and Hemp ber
as represented in Table 1.
3.2. Chemical constituents of bers
The chemical constituents of Cyperus compactus ber have been
observed and the outcomes are represented in Table 1. Cyperus com-
pactus bers had a cellulose percentage of 67.9%, hemicelluloses 19.5%,
and lignin 12.6%. From Table 1. it was evident that CPFs, ax, hemp,
ramie, and pineapple have greater cellulose content, comparatively
Fig. 3. Optical Microscopic image of Cyperus compactus plant ber.
Table 1
Chemical composition of Cyperus compactus bers.
Plants ber Length (
μ
m) Diameter (
μ
m) Cellulose (%) Hemicellulose (%) Lignin (%) Reference
CCP ber 379.11 19.31 67.9 19.5 12.6 Own sample
CPFs 602.06 16.20 68.5 17.88 Mayandi et al., 2016
Flax 20 25 71 18.620.6 2.2 John and Anandjiwala (2008)
Hemp 28 38 68 15 10 John and Anandjiwala (2008)
Ramie 24 68.685 1316.7 0.50.7 Saravanakumar et al. (2013)
Pineapple 81 12.7 John and Anandjiwala (2008)
Bamboo 2643 30 2131 John and Anandjiwala (2008)
Abaca 5663 2025 79 John and Anandjiwala (2008)
Borassus 53.4 29.6 17 John and Anandjiwala (2008)
Napier 45.66 33.67 20.60 John and Anandjiwala (2008)
A.K. Bhunia et al.
Carbohydrate Polymer Technologies and Applications 5 (2023) 100286
5
Fig. 4. (A) FTIR Spectra of Cyperus compactus bers, (B) XRD of Cyperus compactus bers.
A.K. Bhunia et al.
Carbohydrate Polymer Technologies and Applications 5 (2023) 100286
6
bamboo, abaca, Borassus, and Napier bers have lesser content of cel-
lulose than Cyperus compactus bers. The hemicellulose content of
Cyperus compactus bers is higher likewise all the other plant bers such
as ax, hemp and rami. Finally, the lignin quantity is lesser than ax,
hemp, ramie, and abaca and greater than all other bers. The mechan-
ical peculiarity of bers made from natural resources depends critically
on the cellulose content of those bers (Baley, 2002). In conclusion,
Cyperus compactus bers had a high ratio of cellulose content. It,
therefore, has a signicant deal of potential for usage as crude materials
in the mat industry.
3.3. Fourier transform-infrared (FTIR) spectrometry
The FTIR spectrogram of Cyperus compactus was observed (Fig. 4A)
between 4000cm
1
and 500cm
1
. From the FTIR spectrogram of CCP
bers, it has been noticed that an intense absorption peak of 3402cm
1
,
corresponds to the O
H stretching of cellulose. A similar trend was
reported by Mayandi et al. (2016). The absorption spectra at 2917
cm
1
corresponds to the C
H stretching of cellulose (Maheswari et al.,
2012; De Mendonça Neuba et al., 2020). It denotes that CCP bers
include cellulose. Two absorption peaks have been observed at 1736 and
1253cm
1
, which were due to C=O stretching and C O C stretching
vibrations of the acetyl group of hemicelluloses component of CCP -
bers. A similar trend was reported by Prado and Spinac´
e (2015),
Mwaikambo and Ansell (2002), De Rosa et al. (2010). The absorption
spectra that appeared in 1637,1514,1427,1377, and 1036 cm
1
were
due to C=C stretching, C O stretching, CH
3
asymmetric stretching,
CH symmetric stretching, and aromatic plane deformation of lignin
components of CCP bers (Kommula et al., 2016; Tamanna et al., 2021).
A medium-strong absorption spectrum at 1427 cm
1
and 1377 cm
1
indicates the corresponding C
H bending of the alkane group of
hemicellulose, cellulose, and lignin (Maheswari et al., 2012). The peak
observed at 897 cm
1
is linked with C
O-C stretching at the β (14) -
glycosidic linkages between the monosaccharides in cellulose and
hemicellulose (Belouadah et al., 2015).
3.4. X-ray diffraction (XRD) analysis
The XRD pattern of CCP ber is represented in Fig. 4(B). The dif-
fractogram showed two reections, corresponding to 2θ values of
around 16.44and 22.12, respectively. Among all the peaks, the lesser
angle reection (16.44) was of low intensity, denoting of amorphous
material such as cellulose, hemicellulose and lignin (Tamanna et al.,
2021; Vijay et al., 2020) and the other reection (22.12) had
comparatively higher intensity and represented by crystalline material
can be attributed to cellulose IV in cellulosic ber. The lower intensity
peak is denoted by 18.24for Crystallinity index calculation. Gaussian
functions (Hult et al., 2003) are commonly used for the deconvolution of
XRD spectra. CI is calculated from the ratio of the area of all crystalline
peaks to the total area. An important assumption for this analysis is that
increased amorphous contribution is the main contributor to peak
broadening. Cellulose peaks are very broad and not well resolved, with
overlapping peaks. It is generally accepted in the cellulose community
that peak broadening is due to the amorphous cellulose (Park et al.,
2010). The Crystallinity Index had been calculated as 37.08%. The
crystallinity index of CCP bers is greater than other natural bers i.e.,
kapok and balsa bers (Purnawati et al., 2018).
The Crystallite Size of the CCP bers calculated from Scherrers
equation represents that the Crystal size value of CCP bers is 7.61 nm.
Cellulose peaks are very broad and not well resolved, with overlapping
peaks. It is generally accepted in the cellulose community that peak
broadening is due to amorphous cellulose. The crystallite size of the
selected bers is comparatively lesser than jute, and sisal, but greater
than ramie, and wheat straw ber (Saravanan et al., 2016; Suryanto
et al., 2014).
3.5. Tensile property assay
The tensile Behaviour of Cyperus compactus bers is represented in
Fig. 5. The tensile features of Cyperus compactus bers are also repre-
sented in Table 2. Tensile properties like modulus, the strength of CCP
ber, and elongation at the break of CCP bers have been noted to be
97.43±34.26 GPa, 943±51.2 MPa, and 1.07±0.33% signicantly
compared with that other natural resource-based bers like hemp, ax,
jute, and kenaf (Belouadah et al., 2015).
Fig. 5. Stress and Strain curve of Cyperus compactus ber.
Table 2
Mechanical properties of Cyperus compactus ber with some reference value.
Name of the
Fiber
Strength
(MPa)
Elongation at the
break (%)
Modulus
(GPa)
Reference
Cyperus
compactus
943±51.2 1.07±0.33 97.43
±34.26
Own Sample
Cyperus
pangorei
196±56 11.6 ±2.6 Mayandi et al.
(2016)
Corypha
taliera
43.24 18.09 Tamanna
et al. (2021)
Fig. 6. TG and DTG Curve of Cyperus compactus ber.
A.K. Bhunia et al.
Carbohydrate Polymer Technologies and Applications 5 (2023) 100286
7
3.6. Thermo-gravimetric analysis (TGA)
The thermograms of CCP ber are represented in Fig. 6. It has been
observed that the thermal decay of Cyperus compactus ber exhibited
three stages of mass loss. In the early stage of degradation, there was a
loss of mass of about 4.66% within the range of temperature between
35C to 91.9C which is mainly imputed to the exhalation of moisture. In
the second breakdown stage, the maximum of around 71.72% of weight
loss occurred in selected ber samples in the intermediate temperature
range of 227C-374C. Because, the decay of chemical constituents, is
likely to be cellulose and hemicellulose (Indran & Raj, 2015; Sar-
avanakumar et al., 2014). The nal stage of breakdown is the decay of
lignin. Lignin is a most complex and undesirable polymer which had
required more time and temp. to degrade on account of its complex
nature. Though the lignin decay took place between 374C and 600C,
the degradation was initiated at a temp. above 200C (De Rosa et al.,
2010; Yang et al., 2007). This has been detected by the values of initial
degradation temperature (IDT) of raw Cyperus compactus ber were
227C. The same kind of initial breakdown temperature was also re-
ported for alternative natural resource-based bers, such as bagasse
(222.3 C), kenaf (219 C), cotton stalk (221.6C), rice husk (223.3C),
and wood maple (220.9C) (Yao et al., 2008). It was noticed that raw
ber exhibited an exothermic peak at 359C with a maximum decom-
position of 0.85 mg/min. From the TGA curve, it was observed that CCP
ber shows thermal durability up to 227C. The value of the activation
energy for Cyperus compactus bers is 118.90 kJ/mol.
3.7. Surface roughness (SR) analysis
Surface roughness has been indirectly co-related to the interfacial
adhesion between matrix and ber. In general, the primary strength of
the ber-reinforced mainly depends upon the interfacial adhesion be-
tween the CCP ber and the matrix (Mayandi et al., 2016). Moreover,
greater roughness facilitates a higher deposition of contaminants.
Hence, its far vital to look at the unevenness of the CCP ber surface, to
conduct the interfacial adhesion that can be anticipated. The mean
roughness (Ra) value of CCP ber is 1.979 µm (Fig. 7A).
3.8. Scanning electron microscope (SEM) analysis
SEM micrograph of the longitudinal appearance of CCP ber surface
with lower and higher magnications represents the rough and more
uneven surface texture of Cyperus compactus ber noticed in (Fig. 8A,B).
The Cyperus compactus bers surface has cracks, micro-voids, and im-
purities, to its morphology. It shows regularly arranged and square-
shaped cell arrays over the entire ber surface. The micrograms of the
transverse section of the bers were presented in (Fig. 8C,D). From these
gures, it had been apparent that bers were multicellular and poly-
lamellated in nature. Such poly-lamellated bers occur in bamboo and
sorghum also (Parameswaran & Leise, 1975; Manimekalai et al., 2002).
In cross-sectional appearance, the CCP bers are mainly polygonal, with
round-shaped corners and oval to round lumens.
4. Conclusion
The novel lignocellulosic bers from the Cyperus compactus plant
were extracted by the method of normal water retting. From the above-
mentioned experimental results, several conclusions can be drawn. The
modulus, tensile strength and elongation of break of Cyperus compactus
has been concluded as 97.43 GPa, 943 MPa, and 1.07% respectively,
Fig. 7. (A) Roughness parameters. (B) 3-D Roughness surface texture and (C) 2-D Line diagram for roughness measurement of Cyperus compactus bers.
A.K. Bhunia et al.
Carbohydrate Polymer Technologies and Applications 5 (2023) 100286
8
which are greater than some other natural resource-based bers. The
length of a single CCP ber is 379.11
μ
m and the diameter of a CCP ber
is 19.31
μ
m. The thermal investigation exhibits, very well thermal sta-
bility which is up to 227C. XRD and FTIR analysis conrmed that
Cyperus compactus ber is semicrystalline in nature. The roughness of
CCP ber is 1.979 µm. The SRA is indirectly co-related to the interfacial
adhesion among matrix and ber. Scanning electron micrograph
expressed the rough and uneven surface texture of Cyperus compactus
bers which can facilitate good mechanical bonding using matrix and it
is very useful in cottage industry. From above conclusion, it is observed
that CCP ber holds almost same mechanical, thermal and other prop-
erties as Cyperus pangorei ber (Mayandi et al., 2016) which has wide
applications in small scale industries.
Declaration of Competing Interest
The authors declare that they have no known competing nancial
interests or personal relationships that could have appeared to inuence
the work reported in this paper.
Data availability
No external resource data was used for the research described in the
article. Own experimental data is used for this article.
Acknowledgement
We are expressing sincere gratitude to Central Research Facilities, IIT
Kharagpur for their instrumental support and also thankful to Ayan
Kumar Naskar for GIS map preparation. We are also thankful to Man-
otosh Pramanik, Prasenjit Das and Dipak Kumar Hazra for their help.
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