1
                                                                    EXHIBIT 10.2



THE SECURITIES REPRESENTED HEREBY HAVE BEEN ACQUIRED FOR INVESTMENT AND HAVE
NOT BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED OR ANY
APPLICABLE STATE SECURITIES ACTS.  THESE SECURITIES MAY NOT BE SOLD OR
TRANSFERRED IN THE ABSENCE OF SUCH REGISTRATION OR AN EXEMPTION THEREFROM.  THE
SECURITIES REPRESENTED HEREBY ARE SUBJECT TO RESTRICTIONS ON TRANSFER CONTAINED
IN A SECURITIES PURCHASE AGREEMENT TO WHICH THE HOLDER HEREOF IS A PARTY.  ANY
TRANSFER OF THESE SECURITIES IN VIOLATION OF SAID AGREEMENT SHALL BE VOID.  THE
CORPORATION WILL MAIL TO THE HOLDER HEREOF A COPY OF SUCH RESTRICTIONS WITHOUT
CHARGE WITHIN FIVE (5) DAYS AFTER RECEIPT OF WRITTEN REQUEST THEREFOR ADDRESSED
TO THE CORPORATION.



                              WARRANT TO PURCHASE
                             SHARES OF COMMON STOCK
                                       OF
                           AER ENERGY RESOURCES, INC.

                    DATE OF INITIAL ISSUANCE:  May 20, 1996

         THIS CERTIFIES THAT, for value received, the Holder (as defined below)
is entitled to purchase from the Company (as defined below), Eight Hundred
Thirty-Five Thousand (835,000) shares of Common Stock (as defined below) of the
Company in accordance with Section 2.1 below at the Warrant Price (as defined
below), which shall be payable in lawful money of the United States of America
upon the exercise hereof.  The exercise of this Warrant shall be subject to the
provisions, limitations, and restrictions herein contained and may be exercised
in whole or in part.

SECTION 1.       DEFINITIONS.

         For all purposes of this Warrant, the following terms shall have the
meanings indicated:

         "Common Stock" shall mean and include the Company's common stock, no
par value, now or hereafter authorized by the Company's articles of
incorporation, and shall also include (i) in case of any consolidation, merger,
sale of assets, reorganization or reclassification of the character referred to
in Section 4 hereof, the stock, securities or assets provided for in Section 4,
and (ii) any other shares of common stock of the Company into which such shares
of Common Stock may be converted.





   2

         "Company" shall mean AER Energy Resources, Inc., a Georgia
corporation, and shall also include any successor thereto with respect to the
obligations hereunder, by merger, consolidation or otherwise.

         "Current Market Price" shall mean for purposes of Sections 2.1 and 6
hereof the daily closing price on the business day before the date of exercise
of one share of Common Stock, and for all other purposes shall mean the average
of the daily closing prices of one share of Common Stock for the ten (10)
consecutive business days ending five (5) business days before the day in
question and such average will be adjusted for any stock dividend, split,
combination or reclassification that took effect during such ten (10) business
day period.  The closing price for each day shall be the last reported sales
price regular way or, in case no such reported sales took place on such day,
the average of the last reported bid and asked prices regular way, in either
case on the principal national securities exchange on which the Common Stock is
listed or admitted to trading, or if the Common Stock is not at the time listed
or admitted for trading on any such exchange, then such price as shall be equal
to the closing market price, as reported by Nasdaq on such day, or in case no
such reported sales took place on such day, then such price shall be equal to
the average of the last reported bid and asked prices on such day as reported
by Nasdaq.  Notwithstanding the foregoing, if the Common Stock is not traded in
such manner that the prices referred to above are available for the period
required hereunder, the Current Market Price shall be determined in good faith
by the Board of Directors of the Company (which determination shall be
conclusive absent manifest error).

         "Date of Initial Issuance" shall mean the Date of Initial Issuance set
forth on page 1.

         "Holder" shall mean FW AER Partners, L.P.

         "Nasdaq" shall mean the Nasdaq Stock Market.

         "Notice of Exercise" shall mean the Notice of Exercise of Warrant to
Purchase Common Stock of AER Energy Resources, Inc. attached hereto and hereby
incorporated herein.

         "Purchase Agreement" shall mean the Purchase Agreement dated as of May
13, 1996 between the Company and Holder, as amended from time to time.

         "Securities Act" shall mean the Securities Act of 1933, as amended.

         "State Acts" shall mean any applicable state securities or blue sky
acts.

         "Warrant" shall mean this Warrant issued to Holder, dated May 20,
1996.

         "Warrant Price" shall mean Six and Five Sixteenths Dollars ($6.3125)
per share, subject to adjustment in accordance with Section 2 hereof.





                                     -2-
   3


         "Warrant Shares" shall mean shares of Common Stock purchased or
purchasable by the Holder upon the exercise of this Warrant.

SECTION 2.       EXERCISE OF WARRANT.

         2.1.    Procedure for Exercise of Warrant.  To exercise this Warrant
in whole or in part, the Holder shall deliver to the Company as provided in
Section 9 hereof at any time prior to May 20, 2001:  (a) a Notice of Exercise;
(b) payment in full of the Warrant Price (A) in cash or by bank check for all
Warrant Shares purchased hereunder, or (B) through a "cashless" or "net-issue"
exercise (a "Cashless Exercise"), in which case the Holder shall exchange that
portion of the Warrant subject to a Cashless Exercise for that number of
Warrant Shares determined by multiplying the number of shares of Common Stock
for which this Warrant is being exercised by a fraction, the numerator of which
shall be the difference between the Current Market Price and the Warrant Price
and the denominator of which shall be the Current Market Price, or (C) a
combination of (A) and (B) above; and (c) this Warrant.  Upon payment of the
Warrant Price, the Holder shall (i) be deemed to be the holder of record of the
Warrant Shares, notwithstanding that the stock transfer books of the Company
may then be closed or that certificates representing such Warrant Shares may
not then be actually delivered to the Holder, and (ii) be entitled to all of
the benefits of such holder on such date, including without limitation the
right to receive dividends and other distributions the record date for which
falls on or after such date and to exercise voting rights.  Subject to Section
2.5(h), the Company shall, as promptly as practicable thereafter, and in any
event within five (5) business days thereafter, execute, or cause to be
executed, and deliver to the Holder, or the Holder's nominee, a certificate or
certificates representing the aggregate number of Warrant Shares specified in
the Notice of Exercise or determined pursuant to clause (B) above in the case
of a Cashless Exercise.  Each stock certificate so delivered shall be in such
denomination as may be requested by the Holder and shall be registered in the
name of the Holder or such other name as shall be designated by the Holder.  If
this Warrant shall have been exercised only in part, the Company shall, at the
time of delivery of said stock certificate or certificates, deliver to the
Holder a new Warrant evidencing the right of the Holder to purchase the
remaining shares of Common Stock covered by this Warrant.  The Company shall
pay all expenses, taxes and other charges payable in connection with the
preparation, execution and delivery of such stock certificates pursuant to this
Section 2.1 regardless of the name or names in which such stock certificates
shall be registered.  As a condition to exercise of this Warrant, the Company
may request the Holder to execute and deliver to the Company a letter
evidencing the Holder's investment intent and containing provisions necessary
to evidence the applicability of exemptions from registration under applicable
securities laws.

         2.2.    Transfer Restriction Legend.  Each certificate for Warrant
Shares initially issued upon exercise of this Warrant shall bear a legend in
substantially the following form (and any additional legend appropriate under
the State Acts or otherwise) on the face or back thereof unless such Warrant
Shares shall be registered under the Securities Act and the State Acts at the
time of exercise:





                                     -3-
   4

                 The securities evidenced hereby have not been registered under
         the Securities Act of 1933, as amended (the "Securities Act"), or any
         state securities laws in reliance on one or more exemptions thereunder
         and may not be sold or transferred except in transactions exempt from
         registration under the Securities Act or any applicable state
         securities laws or pursuant to an effective registration statement
         thereunder.  The securities evidenced hereby are subject to
         restrictions on transfer contained in a Securities Purchase Agreement
         to which the Corporation is a party.  Any transfer of the securities
         represented hereby in violation of said agreement shall be void.  The
         Corporation will mail to the holder of these securities a copy of such
         restrictions without charge within five (5) days after receipt of
         written request therefor addressed to the Corporation.

Any certificate issued at any time in exchange or substitution for any
certificate bearing such legend shall also bear such legend unless in the
opinion of counsel for the holder thereof (which counsel and opinion shall be
reasonably satisfactory to counsel for the Company) the securities represented
thereby are not, at such time, required by law to bear such legend.

         2.3.    Character of Warrant Shares.  All Warrant Shares shall be duly
authorized, validly issued, and, upon payment of the Warrant Price, fully paid
and nonassessable and free from all taxes, liens and charges with respect to
the issuance thereof and, without limiting the generality of the foregoing, the
Company shall take no action or fail to take any action which will cause a
contrary result (including, without limitation, any action that would cause the
Warrant Price to be less than the par value, if any, of the Common Stock).

         2.4.    Adjustment of Number of Shares.  Upon each adjustment of the
Warrant Price as provided in Section 2.5(a) or (b) hereof, the Holder shall
thereafter be entitled to purchase, at the Warrant Price resulting from such
adjustment, the number of Warrant Shares (calculated to the nearest one-tenth
(1/10) of a share) obtained by multiplying the Warrant Price in effect
immediately prior to such adjustment by the number of Warrant Shares
purchasable immediately prior to such adjustment and dividing the product
thereof by the Warrant Price resulting from such adjustment.

         2.5.    Adjustment of Warrant Price.      The Warrant Price shall be
subject to adjustment from time to time as follows:

                 (a)      If the number of shares of Common Stock outstanding
is increased by a stock dividend payable in shares of Common Stock or by a
subdivision or split of shares of Common Stock, then the Warrant Price in
effect immediately prior to such stock dividend, subdivision or split shall be
proportionately decreased and the number of Warrant Shares shall be
proportionately increased.

                 (b)      If the number of shares of Common Stock outstanding
is decreased by a combination of the outstanding shares of Common Stock, then
the Warrant Price in effect





                                     -4-
   5

immediately prior to such combination shall be proportionately increased and
the number of Warrant Shares shall be proportionately decreased.

                 (c)      If the Company shall declare a cash dividend upon its
Common Stock or shall distribute to holders of the Common Stock shares of its
capital stock other than Common Stock, stock or other securities of other
persons, evidences of indebtedness issued by the Company or other persons,
assets (excluding cash dividends and distributions) or options or rights, then,
in each such case, the Warrant Price in effect immediately  prior to such
dividend or distribution shall be adjusted as follows.  Immediately following
the record date fixed for the determination of holders of Common Stock entitled
to receive such dividend or distribution, the Warrant Price in effect
thereafter shall be determined by multiplying the Warrant Price in effect
immediately prior to such record date by a fraction of which the numerator
shall be an amount equal to (i) the Current Market Price of one share of Common
Stock less (ii) an amount equal to the amount of such dividend or distribution
payable per share of Common Stock, in the case of cash dividend or
distribution, or, in the case of any other dividend or distribution, the fair
market value (as determined by the Board of Directors of the Company, which
determination shall be conclusive absent manifest error) of the stock,
securities, evidences of indebtedness, assets, options or rights so distributed
in respect of one share of Common Stock, and of which the denominator shall be
the Current Market Price.

                 (d)      All calculations under this Section 2.5 shall be made
to the nearest one-tenth (1/10) of a share.

                 (e)      Whenever the Warrant Price shall be adjusted as
provided in this Section 2.5, the Company shall prepare a statement showing the
facts requiring such adjustment and the Warrant Price and the number of Warrant
Shares that shall be in effect after such adjustment and showing in reasonable
detail the facts and calculations upon which such adjustments or other changes
are based, and shall seek to obtain an opinion of the Company's outside
accountants as to the correctness of such adjustments and calculations and to
the effect that such adjustments and calculations have been made in accordance
with the terms hereof.  The Company shall cause a copy of such statement and
opinion to be sent to the Holder, together with a notice stating that the
Warrant Price and the number of Warrant Shares purchasable upon exercise of the
Warrant have been adjusted.  Where appropriate, such copy may be given in
advance and may be included as part of the notice required to be mailed under
the provisions of Section 2.5(g) hereof.

                 (f)      Adjustments made pursuant to Sections 2.5(a), (b) and
(c) shall be made on the date such dividend, subdivision, split, combination or
distribution is made, and shall become effective at the opening of business on
the business day next following the record date for the determination of
shareholders entitled to such dividend, subdivision, split, combination or
distribution or, if a record is not taken, the date as of which holders of
record of Common Stock entitled to such dividend or distribution are
determined.





                                     -5-
   6

                 (g)      In case at any time the Company proposes:

                          (i)  to declare any dividend upon its Common Stock
payable in capital stock (other than Common Stock) or make any special dividend
or other distribution (other than cash dividends) to the holders of Common
Stock;

                          (ii)  to issue any shares of Common Stock, options
therefor or securities convertible into Common Stock (except (x) pursuant to
the exercise of this Warrant or any other Warrants issued contemporaneously
herewith or pursuant to the conversion of any of the Company's 8% Convertible
Debentures issued in November 1995 or exercise of the Warrant issued to Swartz
Investments, Inc. in November 1995 or (y) pursuant to options or warrants or
restricted stock or similar awards issued to officers, directors or employees
of the Company pursuant to a stock option or other stock plan or employment,
severance or consulting or similar agreement, in each case approved by the
Board of Directors, or pursuant to the exercise of such options, warrants or
awards);

                          (iii)  to offer for subscription pro rata to the
holders of Common Stock any additional shares of capital stock of any class or
other rights;

                          (iv)  to effect any capital reorganization or
reclassification of the capital stock of the Company, or any consolidation,
merger or share exchange of the Company with another entity or sale, transfer
or other disposition of all or substantially all of its assets, in each case in
which a vote of the shareholders of the Company is taken; or

                          (v)  to effect a voluntary or involuntary
dissolution, liquidation or winding up of the Company in which a vote of
shareholders of the Company is taken,

then in any one or more of such cases, the Company shall give the Holder hereof
(a) at least ten (10) days (but not more than ninety (90) days) prior written
notice of the date on which the books of the Company shall close or a record
shall be taken for such dividend, distribution or subscription rights or for
determining rights to vote in respect of any such issuance, reorganization,
reclassification, consolidation, merger, share exchange, sale, transfer,
disposition, dissolution, liquidation or winding up, and (b) in the case of any
such issuance, reorganization, reclassification, consolidation, merger, share
exchange, sale, transfer, disposition, dissolution, liquidation or winding up,
at least ten (10) days (but not more than ninety (90) days) prior written
notice of the date when the same shall take place.  Such notice in accordance
with the foregoing clause (a) shall also specify, in the case of any such
dividend, distribution or subscription rights, the date on which the holders of
Common Stock shall be entitled thereto, and such notice in accordance with the
foregoing clause (b) shall also specify the date on which the holders of Common
Stock shall be entitled to exchange their Common Stock, as the case may be, for
securities or other property deliverable upon such reorganization,
reclassification, consolidation, merger, share exchange, sale, transfer,
disposition, dissolution, liquidation or winding up, as the case may be.
Failure to give such notice, or any defect therein, shall not affect the
legality or validity of any such action, but shall only give Purchaser the
right to assert a possible breach of contract.





                                     -6-
   7


                 (h)      Whenever the provisions of this Section 2.5 shall
require that an adjustment shall become effective immediately after the record
date for an event and the Holder exercises this Warrant after such record date
and before the occurrence of such event, the Company may defer until the
occurrence of such event issuing to the Holder the additional shares of Common
Stock issuable upon such exercise by reason of the adjustment required by such
event over and above the shares of Common Stock issuable upon such exercise
before giving effect to such adjustment; provided, however, that the Company
shall deliver to such Holder a due bill or other appropriate instrument
evidencing such Holder's right to receive such additional shares upon the
occurrence of the event requiring such adjustment.

                 (i)      The sale or other disposition of any Common Stock
theretofore held in the treasury of the Company shall be deemed to be an
issuance thereof.

SECTION 3.       OWNERSHIP AND TRANSFER.

         3.1.    Ownership.  The Company may deem and treat the person in whose
name this Warrant is registered as the Holder and owner hereof (notwithstanding
any notations of ownership or writing hereon made by anyone other than the
Company) for all purposes and shall not be affected by any notice to the
contrary until presentation of this Warrant for registration of transfer as
provided in this Section 3.  Notwithstanding the foregoing, the rights to
purchase Warrant Shares represented hereby, if properly assigned in compliance
with the terms of this Warrant, may be exercised by an assignee for the
purchase of Warrant Shares without having a new Warrant issued.

         3.2.    Transfer and Replacement.  Subject to restrictions on transfer
of this Warrant under the Securities Act or the State Acts, this Warrant and
all rights hereunder are transferable in whole or in part upon the books of the
Company by the Holder hereof in person or by duly authorized attorney at any
time after one (1) year from the Date of Initial Issuance.  A new Warrant or
Warrants, of the same tenor as this Warrant but registered in the name of the
transferee or transferees shall be made and delivered by the Company upon
surrender of this Warrant duly endorsed, at the office of the Company.  Upon
receipt by the Company of evidence reasonably satisfactory to it of the loss,
theft or destruction of this Warrant, and of indemnity or security reasonably
satisfactory to it, or upon surrender of this Warrant if mutilated, the Company
will make and deliver a new Warrant of like tenor, in lieu of this Warrant.
This Warrant shall be promptly cancelled by the Company upon the surrender
hereof in connection with any transfer or replacement.  Except as otherwise
provided above in the case of the loss, theft or destruction of a Warrant, the
Company shall pay all expenses, taxes and other charges payable in connection
with any transfer or replacement of this Warrant, other than stock transfer
taxes (if any) payable in connection with a transfer of this Warrant, which
shall be payable by the Holder.





                                     -7-
   8

SECTION 4.       MERGERS, CONSOLIDATIONS, SALES.

         In the case of any proposed consolidation or merger of the Company
with another entity, or the proposed sale of all or substantially all of the
Company's assets or any proposed reorganization or reclassification of the
securities of the Company, then, as a condition of such consolidation, merger,
sale, reorganization or reclassification, lawful and adequate provision shall
be made whereby the Holder shall thereafter have the right to receive upon the
terms and conditions specified herein, in lieu of the Warrant Shares
immediately theretofore purchasable hereunder, such shares of stock or
securities or assets as may by virtue of such consolidation, merger, sale,
reorganization or reclassification be issued or payable with respect to or in
exchange for the Warrant Shares purchasable hereunder immediately before such
consolidation, merger, sale, reorganization or reclassification as if this
Warrant had theretofore been exercised, and in any such case appropriate
provisions shall be made with respect to the rights and interests of such
Holder to the end that the provisions hereof (including, without limitation,
provisions for adjustments or the Warrant Price and of the number of Warrant
Shares received upon the exercise) shall thereafter be applicable, as nearly as
possible, in relation to any shares of capital stock, securities or assets
thereafter deliverable upon the exercise of this Warrant.  In the event of a
merger, share exchange or consolidation of the Company with or into another
entity as a result of which a number of shares of common stock or its
equivalent of the successor entity greater or lesser than the number of shares
of Common Stock outstanding immediately prior to such merger, share exchange or
consolidation are issuable to holders of Common Stock, then the Warrant Price
in effect immediately prior to such merger, share exchange or consolidation
shall be adjusted in the same manner as though there were a subdivision or
combination of the outstanding shares of Common Stock.  The Company shall not
effect any such consolidation, merger or sale unless prior to or simultaneously
with the consummation thereof the successor corporation or purchaser shall
assume by written instrument the obligation to deliver to the Holder such
shares of stock, securities or assets as the Holder is entitled to receive
hereunder and all other liabilities and obligations of the Company hereunder.
Upon written request by the Holder hereof, such successor will issue a new
Warrant revised to reflect the modifications in the Warrant effected pursuant
to this Section 4.

SECTION 5.       NOTICE OF DISSOLUTION OR LIQUIDATION.

         In case of any distribution of the assets of the Company in
dissolution, winding up or liquidation (except under circumstances when Section
4 hereof shall be applicable), the Company shall give notice thereof to the
Holder and shall make no distribution to shareholders of the Company until the
expiration of ten (10) days from the date of mailing of the aforesaid notice
and, in any case, subject to the other terms and conditions of this Warrant,
the Holder may exercise this Warrant within ten (10) days from the date of the
giving of such notice, and all rights herein granted not so exercised within
such ten (10) day period shall thereafter become null and void.





                                     -8-
   9

SECTION 6.       FRACTIONAL SHARES.

         Fractional shares shall not be issued upon the exercise of this
Warrant but in any case where the Holder would, except for the provisions of
this Section 6, be entitled under the terms hereof to receive a fractional
share upon the complete exercise of this Warrant, the Company shall, upon the
exercise of this Warrant for the largest number of whole shares then called
for, pay a sum in cash equal to the Current Market Price of one share of Common
Stock at the time of such exercise multiplied by such fraction computed to the
nearest whole cent.

SECTION 7.       CLOSING OF TRANSFER BOOKS.

         The right to exercise this Warrant shall not be suspended during any
period while the stock transfer books of the Company may be closed.  The
Company shall not be required, however, to deliver certificates for the Warrant
Shares while such books are duly closed for any purpose, but the Company may
postpone the delivery of the certificates for such Common Stock until the
opening of such books, and they shall be delivered as soon as practicable
thereafter.

SECTION 8.       COVENANTS OF THE COMPANY.

         8.1.    Reserved Shares.  The Company shall reserve and set apart and
have available for issuance at all times, free from preemptive rights, out of
its treasury stock or its authorized but unissued shares of Common Stock, or
both, solely for the purpose of effecting the exercise of this Warrant, the
number of shares of Common Stock sufficient to provide for the exercise of this
Warrant.

         8.2.    Binding Upon Successors.  This Warrant shall be binding upon
any corporation, entity or person succeeding to the Company by merger,
consolidation or acquisition of all or substantially all of the Company's
assets.

SECTION 9.       NOTICES.

         Any notice or other document required or permitted to be given or
delivered to the Holder shall be delivered at, or sent by certified or
registered mail, postage prepaid, to its address set forth below, or to such
other address as shall have been furnished to the Company in writing by the
Holder.  Any notice or other document required or permitted to be given or
delivered to the Company shall be delivered at, or sent by certified or
registered mail, postage prepaid, to the address of the Company as set forth
following its signature below, or to such other address as shall have been
furnished to the Holder in writing by the Company.  Any notice or other
document so addressed and mailed by registered or certified mail shall be
deemed to be given when so mailed.  Any notice so addressed and otherwise
delivered shall be deemed to be given when actually received by the addressee.





                                     -9-
   10

SECTION 10.      NO RIGHTS AS STOCKHOLDER; LIMITATION OF LIABILITY.

         This Warrant shall not entitle the Holder to any of the rights of a
shareholder of the Company.  No provision hereof, in the absence of the
purchase of shares of Common Stock by the Holder pursuant to this Warrant,
shall give rise to any liability of the Holder for the exercise price hereunder
or as a shareholder of the Company, whether such liability is asserted by the
Company or any third party.

SECTION 11.      LAW GOVERNING.

         This Warrant shall be governed by, and construed and enforced in
accordance with, the laws of the State of Georgia.

SECTION 12.      PURCHASE AGREEMENT.

         This Warrant is issued and sold pursuant to that certain Securities
Purchase Agreement, dated as of May 13, 1996 (the "Purchase Agreement") between
the Company and the Holder.  The holder hereof shall be entitled to all of the
rights and benefits and subject to all of the obligations of Purchaser under
the Purchase Agreement, including without limitation, rights with respect to
registration under the Securities Act.  The terms of the Purchase Agreement are
hereby incorporated herein for all purposes and shall be considered a part of
this Warrant as if they had been fully set forth herein.

SECTION 13.      ACKNOWLEDGEMENT OF RIGHTS.

         At the time of the exercise of this Warrant in accordance with the
terms hereof and upon the request of the Holder hereof, the Company will
acknowledge in writing its continuing obligation to afford to such Holder any
rights (including, without limitation, any right to registration of the Warrant
Shares) to which such Holder shall continue to be entitled after such exercise
in accordance with the provisions of this Warrant and the Purchase Agreement;
provided, however, that if the Holder hereof shall fail to make any such
request, such failure shall not affect the continuing obligation of the Company
to afford to such Holder any such rights.

SECTION 14.      MISCELLANEOUS.

         This Warrant and any provision hereof may be changed, waived,
discharged or terminated with the consent in writing of the Company and the
Holder hereof, or in lieu thereof, the Company and holders representing not
less than 66 - 2/3% of all of the warrants sold pursuant to the Purchase
Agreement then outstanding; provided that no change in the number of the shares
of Common Stock purchasable upon the exercise of any such warrant or in the
Warrant Price shall be made without the consent in writing of the holder
thereof, other than such changes as are specifically prescribed by or
contemplated in such warrants as originally executed.  The headings in this
Warrant are for purposes of reference only and shall not affect the meaning or
construction of any of the provisions hereof.  This Warrant,





                                    -10-
   11
together with the Purchase Agreement, contains the entire agreement between the
Holder hereof and the Company with respect to the Warrant Shares purchasable
upon exercise hereof and the related transactions and supersedes all prior
arrangements or undertakings with respect thereto.  In the event that any one
or more of the provisions contained in this Warrant shall be determined to be
invalid, illegal or unenforceable in any respect for any reason, the validity,
legality and enforceability of any such provision in any other respect and the
remaining provisions of this Warrant shall not, at the election of the party
for whom the benefit of the provision exists, be in any way impaired.  The
Warrant Shares shall be entitled to such registration rights under the
Securities Act and under applicable state securities laws as are specified in
the Purchase Agreement.

         IN WITNESS WHEREOF, the Company has caused this Warrant to be signed
by its duly authorized officer as of the 20th day of May, 1996.

                                          AER ENERGY RESOURCES, INC.
                                          
                                          
                                          
                                          By: /s/ David W. Dorheim             
                                             ----------------------------------
                                          Title: President & CEO               
                                                -------------------------------
                                                                               
                                          Address:                             
                                                4600 Highlands Parkway, Suite G
                                                Smyrna, Georgia  30082         
                                                                               
                                                                               
                                          Address of Holder:                   
                                                                               
                                          201 Main Street, Suite 3100          
                                          Fort Worth, Texas  76102             





                                     -11-
   12
                                   ASSIGNMENT


                    TO BE EXECUTED BY THE REGISTERED HOLDER
                         TO TRANSFER THE WITHIN WARRANT


         FOR VALUE RECEIVED the undersigned registered owner of this Warrant
hereby sells, assigns and transfers unto the Assignee named below all of the
rights of the undersigned under this Warrant, with respect to the number of
Warrant Shares set forth below:

Name and Address of Assignee                       No. of Warrant Shares





and does hereby irrevocably constitute and appoint as Attorney _______________ 
to register such transfer on the books of the Company maintained for purpose, 
with full power of substitution.

Dated                       ,                      
      ----------------------                       ----------------------------
                                                   Name of Holder
                                        
Signature Guarantee:                    
                                                   By:
                                                   ----------------------------
                                                   Title:
- -------------------------------------------                            
         (Affix Stamp)

By:                                        
   ----------------------------------------
     Title:

                                     NOTICE

         The signature to the foregoing Assignment must correspond to the name
as written upon the face of the within Warrant in every particular, without
alteration or enlargement or any change whatsoever.

         The signature to this assignment must be guaranteed by a financial
institution that is a member of the Stock Transfer Association's approved
medallion program.





                                     -12-
                                                       
   13
                               NOTICE OF EXERCISE
                             OF WARRANT TO PURCHASE
                   COMMON STOCK OF AER ENERGY RESOURCES, INC.


To:      AER Energy Resources, Inc.
                                                   
         ------------------------------------------
                                                   
         ------------------------------------------

         The undersigned, the registered owner of this Warrant, hereby
irrevocably elects to exercise the purchase rights represented thereby for, and
to purchase thereunder, _________ shares of common stock of AER Energy
Resources, Inc. and herewith makes payment in full for such shares pursuant to
Section 2.1 of this Warrant, and requests that the certificates evidencing such
shares be issued in the name of and be delivered to:

             Name:
                  ----------------------------------------------
             Address:                                            
                     -------------------------------------------
                                                                              
                        ----------------------------------------
             Tax I.D. Number                           
                            ---------------------------

and if such shares shall not be all of the shares purchasable hereunder, that a
new Warrant of like tenor for the balance of the shares purchasable hereunder
be delivered to the undersigned.



Dated:               ,                                                         
        -------------  --------            ------------------------------------
                                           Name of Holder                      
                                                                               
                                                                               
                                                                               
                                           By:                                 
                                              ---------------------------------
                                           Title:                              






                                     -13-